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Simplifying -10x + 12 = 2(-2x + -8) + 5x Reorder the terms: 12 + -10x = 2(-2x + -8) + 5x Reorder the terms: 12 + -10x = 2(-8 + -2x) + 5x 12 + -10x = (-8 * 2 + -2x * 2) + 5x 12 + -10x = (-16 + -4x) + 5x Combine like terms: -4x + 5x = 1x 12 + -10x = -16 + 1x Solving 12 + -10x = -16 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + -10x + -1x = -16 + 1x + -1x Combine like terms: -10x + -1x = -11x 12 + -11x = -16 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + -11x = -16 + 0 12 + -11x = -16 Add '-12' to each side of the equation. 12 + -12 + -11x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = -16 + -12 -11x = -16 + -12 Combine like terms: -16 + -12 = -28 -11x = -28 Divide each side by '-11'. x = 2.545454545 Simplifying x = 2.545454545
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