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Simplifying 7(x + 2) + -3(2x + -7) = 9(4x + -10) + -1(7x + -20) Reorder the terms: 7(2 + x) + -3(2x + -7) = 9(4x + -10) + -1(7x + -20) (2 * 7 + x * 7) + -3(2x + -7) = 9(4x + -10) + -1(7x + -20) (14 + 7x) + -3(2x + -7) = 9(4x + -10) + -1(7x + -20) Reorder the terms: 14 + 7x + -3(-7 + 2x) = 9(4x + -10) + -1(7x + -20) 14 + 7x + (-7 * -3 + 2x * -3) = 9(4x + -10) + -1(7x + -20) 14 + 7x + (21 + -6x) = 9(4x + -10) + -1(7x + -20) Reorder the terms: 14 + 21 + 7x + -6x = 9(4x + -10) + -1(7x + -20) Combine like terms: 14 + 21 = 35 35 + 7x + -6x = 9(4x + -10) + -1(7x + -20) Combine like terms: 7x + -6x = 1x 35 + 1x = 9(4x + -10) + -1(7x + -20) Reorder the terms: 35 + 1x = 9(-10 + 4x) + -1(7x + -20) 35 + 1x = (-10 * 9 + 4x * 9) + -1(7x + -20) 35 + 1x = (-90 + 36x) + -1(7x + -20) Reorder the terms: 35 + 1x = -90 + 36x + -1(-20 + 7x) 35 + 1x = -90 + 36x + (-20 * -1 + 7x * -1) 35 + 1x = -90 + 36x + (20 + -7x) Reorder the terms: 35 + 1x = -90 + 20 + 36x + -7x Combine like terms: -90 + 20 = -70 35 + 1x = -70 + 36x + -7x Combine like terms: 36x + -7x = 29x 35 + 1x = -70 + 29x Solving 35 + 1x = -70 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 35 + 1x + -29x = -70 + 29x + -29x Combine like terms: 1x + -29x = -28x 35 + -28x = -70 + 29x + -29x Combine like terms: 29x + -29x = 0 35 + -28x = -70 + 0 35 + -28x = -70 Add '-35' to each side of the equation. 35 + -35 + -28x = -70 + -35 Combine like terms: 35 + -35 = 0 0 + -28x = -70 + -35 -28x = -70 + -35 Combine like terms: -70 + -35 = -105 -28x = -105 Divide each side by '-28'. x = 3.75 Simplifying x = 3.75
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