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Simplifying -3(x + -4) = -7x + 6(x + -5) Reorder the terms: -3(-4 + x) = -7x + 6(x + -5) (-4 * -3 + x * -3) = -7x + 6(x + -5) (12 + -3x) = -7x + 6(x + -5) Reorder the terms: 12 + -3x = -7x + 6(-5 + x) 12 + -3x = -7x + (-5 * 6 + x * 6) 12 + -3x = -7x + (-30 + 6x) Reorder the terms: 12 + -3x = -30 + -7x + 6x Combine like terms: -7x + 6x = -1x 12 + -3x = -30 + -1x Solving 12 + -3x = -30 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 12 + -3x + x = -30 + -1x + x Combine like terms: -3x + x = -2x 12 + -2x = -30 + -1x + x Combine like terms: -1x + x = 0 12 + -2x = -30 + 0 12 + -2x = -30 Add '-12' to each side of the equation. 12 + -12 + -2x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -30 + -12 -2x = -30 + -12 Combine like terms: -30 + -12 = -42 -2x = -42 Divide each side by '-2'. x = 21 Simplifying x = 21
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