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Simplifying 4x + -2(2x + -7) = 6(2x + -8) + 5x Reorder the terms: 4x + -2(-7 + 2x) = 6(2x + -8) + 5x 4x + (-7 * -2 + 2x * -2) = 6(2x + -8) + 5x 4x + (14 + -4x) = 6(2x + -8) + 5x Reorder the terms: 14 + 4x + -4x = 6(2x + -8) + 5x Combine like terms: 4x + -4x = 0 14 + 0 = 6(2x + -8) + 5x 14 = 6(2x + -8) + 5x Reorder the terms: 14 = 6(-8 + 2x) + 5x 14 = (-8 * 6 + 2x * 6) + 5x 14 = (-48 + 12x) + 5x Combine like terms: 12x + 5x = 17x 14 = -48 + 17x Solving 14 = -48 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 14 + -17x = -48 + 17x + -17x Combine like terms: 17x + -17x = 0 14 + -17x = -48 + 0 14 + -17x = -48 Add '-14' to each side of the equation. 14 + -14 + -17x = -48 + -14 Combine like terms: 14 + -14 = 0 0 + -17x = -48 + -14 -17x = -48 + -14 Combine like terms: -48 + -14 = -62 -17x = -62 Divide each side by '-17'. x = 3.647058824 Simplifying x = 3.647058824
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