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Simplifying -12(7x + -6) + -10(-8x + 4) = 3(-5x + -5) Reorder the terms: -12(-6 + 7x) + -10(-8x + 4) = 3(-5x + -5) (-6 * -12 + 7x * -12) + -10(-8x + 4) = 3(-5x + -5) (72 + -84x) + -10(-8x + 4) = 3(-5x + -5) Reorder the terms: 72 + -84x + -10(4 + -8x) = 3(-5x + -5) 72 + -84x + (4 * -10 + -8x * -10) = 3(-5x + -5) 72 + -84x + (-40 + 80x) = 3(-5x + -5) Reorder the terms: 72 + -40 + -84x + 80x = 3(-5x + -5) Combine like terms: 72 + -40 = 32 32 + -84x + 80x = 3(-5x + -5) Combine like terms: -84x + 80x = -4x 32 + -4x = 3(-5x + -5) Reorder the terms: 32 + -4x = 3(-5 + -5x) 32 + -4x = (-5 * 3 + -5x * 3) 32 + -4x = (-15 + -15x) Solving 32 + -4x = -15 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 32 + -4x + 15x = -15 + -15x + 15x Combine like terms: -4x + 15x = 11x 32 + 11x = -15 + -15x + 15x Combine like terms: -15x + 15x = 0 32 + 11x = -15 + 0 32 + 11x = -15 Add '-32' to each side of the equation. 32 + -32 + 11x = -15 + -32 Combine like terms: 32 + -32 = 0 0 + 11x = -15 + -32 11x = -15 + -32 Combine like terms: -15 + -32 = -47 11x = -47 Divide each side by '11'. x = -4.272727273 Simplifying x = -4.272727273
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