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Simplifying 3x + -2(2x + -7) = 5(2x + -8) + 5x Reorder the terms: 3x + -2(-7 + 2x) = 5(2x + -8) + 5x 3x + (-7 * -2 + 2x * -2) = 5(2x + -8) + 5x 3x + (14 + -4x) = 5(2x + -8) + 5x Reorder the terms: 14 + 3x + -4x = 5(2x + -8) + 5x Combine like terms: 3x + -4x = -1x 14 + -1x = 5(2x + -8) + 5x Reorder the terms: 14 + -1x = 5(-8 + 2x) + 5x 14 + -1x = (-8 * 5 + 2x * 5) + 5x 14 + -1x = (-40 + 10x) + 5x Combine like terms: 10x + 5x = 15x 14 + -1x = -40 + 15x Solving 14 + -1x = -40 + 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. 14 + -1x + -15x = -40 + 15x + -15x Combine like terms: -1x + -15x = -16x 14 + -16x = -40 + 15x + -15x Combine like terms: 15x + -15x = 0 14 + -16x = -40 + 0 14 + -16x = -40 Add '-14' to each side of the equation. 14 + -14 + -16x = -40 + -14 Combine like terms: 14 + -14 = 0 0 + -16x = -40 + -14 -16x = -40 + -14 Combine like terms: -40 + -14 = -54 -16x = -54 Divide each side by '-16'. x = 3.375 Simplifying x = 3.375
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