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Simplifying 6(x + -7) + -4x = 5(x + -3) + -3 Reorder the terms: 6(-7 + x) + -4x = 5(x + -3) + -3 (-7 * 6 + x * 6) + -4x = 5(x + -3) + -3 (-42 + 6x) + -4x = 5(x + -3) + -3 Combine like terms: 6x + -4x = 2x -42 + 2x = 5(x + -3) + -3 Reorder the terms: -42 + 2x = 5(-3 + x) + -3 -42 + 2x = (-3 * 5 + x * 5) + -3 -42 + 2x = (-15 + 5x) + -3 Reorder the terms: -42 + 2x = -15 + -3 + 5x Combine like terms: -15 + -3 = -18 -42 + 2x = -18 + 5x Solving -42 + 2x = -18 + 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 + 2x + -5x = -18 + 5x + -5x Combine like terms: 2x + -5x = -3x -42 + -3x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + -3x = -18 + 0 -42 + -3x = -18 Add '42' to each side of the equation. -42 + 42 + -3x = -18 + 42 Combine like terms: -42 + 42 = 0 0 + -3x = -18 + 42 -3x = -18 + 42 Combine like terms: -18 + 42 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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