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Simplifying 5x + -2(2x + -7) = 2(2x + -8) + 5x Reorder the terms: 5x + -2(-7 + 2x) = 2(2x + -8) + 5x 5x + (-7 * -2 + 2x * -2) = 2(2x + -8) + 5x 5x + (14 + -4x) = 2(2x + -8) + 5x Reorder the terms: 14 + 5x + -4x = 2(2x + -8) + 5x Combine like terms: 5x + -4x = 1x 14 + 1x = 2(2x + -8) + 5x Reorder the terms: 14 + 1x = 2(-8 + 2x) + 5x 14 + 1x = (-8 * 2 + 2x * 2) + 5x 14 + 1x = (-16 + 4x) + 5x Combine like terms: 4x + 5x = 9x 14 + 1x = -16 + 9x Solving 14 + 1x = -16 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 14 + 1x + -9x = -16 + 9x + -9x Combine like terms: 1x + -9x = -8x 14 + -8x = -16 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -8x = -16 + 0 14 + -8x = -16 Add '-14' to each side of the equation. 14 + -14 + -8x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = -16 + -14 -8x = -16 + -14 Combine like terms: -16 + -14 = -30 -8x = -30 Divide each side by '-8'. x = 3.75 Simplifying x = 3.75
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