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Simplifying 5x + -2(2x + -7) = 3(2x + -8) + 5x Reorder the terms: 5x + -2(-7 + 2x) = 3(2x + -8) + 5x 5x + (-7 * -2 + 2x * -2) = 3(2x + -8) + 5x 5x + (14 + -4x) = 3(2x + -8) + 5x Reorder the terms: 14 + 5x + -4x = 3(2x + -8) + 5x Combine like terms: 5x + -4x = 1x 14 + 1x = 3(2x + -8) + 5x Reorder the terms: 14 + 1x = 3(-8 + 2x) + 5x 14 + 1x = (-8 * 3 + 2x * 3) + 5x 14 + 1x = (-24 + 6x) + 5x Combine like terms: 6x + 5x = 11x 14 + 1x = -24 + 11x Solving 14 + 1x = -24 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 14 + 1x + -11x = -24 + 11x + -11x Combine like terms: 1x + -11x = -10x 14 + -10x = -24 + 11x + -11x Combine like terms: 11x + -11x = 0 14 + -10x = -24 + 0 14 + -10x = -24 Add '-14' to each side of the equation. 14 + -14 + -10x = -24 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = -24 + -14 -10x = -24 + -14 Combine like terms: -24 + -14 = -38 -10x = -38 Divide each side by '-10'. x = 3.8 Simplifying x = 3.8
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