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Simplifying -3(2x + -4) + 7x = 12x + -15 Reorder the terms: -3(-4 + 2x) + 7x = 12x + -15 (-4 * -3 + 2x * -3) + 7x = 12x + -15 (12 + -6x) + 7x = 12x + -15 Combine like terms: -6x + 7x = 1x 12 + 1x = 12x + -15 Reorder the terms: 12 + 1x = -15 + 12x Solving 12 + 1x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + 1x + -12x = -15 + 12x + -12x Combine like terms: 1x + -12x = -11x 12 + -11x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -11x = -15 + 0 12 + -11x = -15 Add '-12' to each side of the equation. 12 + -12 + -11x = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = -15 + -12 -11x = -15 + -12 Combine like terms: -15 + -12 = -27 -11x = -27 Divide each side by '-11'. x = 2.454545455 Simplifying x = 2.454545455
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