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Simplifying 2(x + -3) + -7 = 5(x + 4) Reorder the terms: 2(-3 + x) + -7 = 5(x + 4) (-3 * 2 + x * 2) + -7 = 5(x + 4) (-6 + 2x) + -7 = 5(x + 4) Reorder the terms: -6 + -7 + 2x = 5(x + 4) Combine like terms: -6 + -7 = -13 -13 + 2x = 5(x + 4) Reorder the terms: -13 + 2x = 5(4 + x) -13 + 2x = (4 * 5 + x * 5) -13 + 2x = (20 + 5x) Solving -13 + 2x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -13 + 2x + -5x = 20 + 5x + -5x Combine like terms: 2x + -5x = -3x -13 + -3x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + -3x = 20 + 0 -13 + -3x = 20 Add '13' to each side of the equation. -13 + 13 + -3x = 20 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = 20 + 13 -3x = 20 + 13 Combine like terms: 20 + 13 = 33 -3x = 33 Divide each side by '-3'. x = -11 Simplifying x = -11
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