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Simplifying 3(x + 7) + -1(2x + 8) = 25 + -3(x + 2) Reorder the terms: 3(7 + x) + -1(2x + 8) = 25 + -3(x + 2) (7 * 3 + x * 3) + -1(2x + 8) = 25 + -3(x + 2) (21 + 3x) + -1(2x + 8) = 25 + -3(x + 2) Reorder the terms: 21 + 3x + -1(8 + 2x) = 25 + -3(x + 2) 21 + 3x + (8 * -1 + 2x * -1) = 25 + -3(x + 2) 21 + 3x + (-8 + -2x) = 25 + -3(x + 2) Reorder the terms: 21 + -8 + 3x + -2x = 25 + -3(x + 2) Combine like terms: 21 + -8 = 13 13 + 3x + -2x = 25 + -3(x + 2) Combine like terms: 3x + -2x = 1x 13 + 1x = 25 + -3(x + 2) Reorder the terms: 13 + 1x = 25 + -3(2 + x) 13 + 1x = 25 + (2 * -3 + x * -3) 13 + 1x = 25 + (-6 + -3x) Combine like terms: 25 + -6 = 19 13 + 1x = 19 + -3x Solving 13 + 1x = 19 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 13 + 1x + 3x = 19 + -3x + 3x Combine like terms: 1x + 3x = 4x 13 + 4x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + 4x = 19 + 0 13 + 4x = 19 Add '-13' to each side of the equation. 13 + -13 + 4x = 19 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 19 + -13 4x = 19 + -13 Combine like terms: 19 + -13 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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