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Simplifying -6(x + -7) + 3x = 2(x + -4) Reorder the terms: -6(-7 + x) + 3x = 2(x + -4) (-7 * -6 + x * -6) + 3x = 2(x + -4) (42 + -6x) + 3x = 2(x + -4) Combine like terms: -6x + 3x = -3x 42 + -3x = 2(x + -4) Reorder the terms: 42 + -3x = 2(-4 + x) 42 + -3x = (-4 * 2 + x * 2) 42 + -3x = (-8 + 2x) Solving 42 + -3x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + -3x + -2x = -8 + 2x + -2x Combine like terms: -3x + -2x = -5x 42 + -5x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + -5x = -8 + 0 42 + -5x = -8 Add '-42' to each side of the equation. 42 + -42 + -5x = -8 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = -8 + -42 -5x = -8 + -42 Combine like terms: -8 + -42 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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