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Simplifying 6(x + -7) + -3x = 5(x + -2) + -2 Reorder the terms: 6(-7 + x) + -3x = 5(x + -2) + -2 (-7 * 6 + x * 6) + -3x = 5(x + -2) + -2 (-42 + 6x) + -3x = 5(x + -2) + -2 Combine like terms: 6x + -3x = 3x -42 + 3x = 5(x + -2) + -2 Reorder the terms: -42 + 3x = 5(-2 + x) + -2 -42 + 3x = (-2 * 5 + x * 5) + -2 -42 + 3x = (-10 + 5x) + -2 Reorder the terms: -42 + 3x = -10 + -2 + 5x Combine like terms: -10 + -2 = -12 -42 + 3x = -12 + 5x Solving -42 + 3x = -12 + 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. -42 + 3x + -5x = -12 + 5x + -5x Combine like terms: 3x + -5x = -2x -42 + -2x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + -2x = -12 + 0 -42 + -2x = -12 Add '42' to each side of the equation. -42 + 42 + -2x = -12 + 42 Combine like terms: -42 + 42 = 0 0 + -2x = -12 + 42 -2x = -12 + 42 Combine like terms: -12 + 42 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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