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Simplifying 3 + -1(2x + 5) = 7(x + 3) + -2(4 + -3x) Reorder the terms: 3 + -1(5 + 2x) = 7(x + 3) + -2(4 + -3x) 3 + (5 * -1 + 2x * -1) = 7(x + 3) + -2(4 + -3x) 3 + (-5 + -2x) = 7(x + 3) + -2(4 + -3x) Combine like terms: 3 + -5 = -2 -2 + -2x = 7(x + 3) + -2(4 + -3x) Reorder the terms: -2 + -2x = 7(3 + x) + -2(4 + -3x) -2 + -2x = (3 * 7 + x * 7) + -2(4 + -3x) -2 + -2x = (21 + 7x) + -2(4 + -3x) -2 + -2x = 21 + 7x + (4 * -2 + -3x * -2) -2 + -2x = 21 + 7x + (-8 + 6x) Reorder the terms: -2 + -2x = 21 + -8 + 7x + 6x Combine like terms: 21 + -8 = 13 -2 + -2x = 13 + 7x + 6x Combine like terms: 7x + 6x = 13x -2 + -2x = 13 + 13x Solving -2 + -2x = 13 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -2 + -2x + -13x = 13 + 13x + -13x Combine like terms: -2x + -13x = -15x -2 + -15x = 13 + 13x + -13x Combine like terms: 13x + -13x = 0 -2 + -15x = 13 + 0 -2 + -15x = 13 Add '2' to each side of the equation. -2 + 2 + -15x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + -15x = 13 + 2 -15x = 13 + 2 Combine like terms: 13 + 2 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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