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Simplifying -2x + 6(x + 8) = 5(2x + -9) + 4x Reorder the terms: -2x + 6(8 + x) = 5(2x + -9) + 4x -2x + (8 * 6 + x * 6) = 5(2x + -9) + 4x -2x + (48 + 6x) = 5(2x + -9) + 4x Reorder the terms: 48 + -2x + 6x = 5(2x + -9) + 4x Combine like terms: -2x + 6x = 4x 48 + 4x = 5(2x + -9) + 4x Reorder the terms: 48 + 4x = 5(-9 + 2x) + 4x 48 + 4x = (-9 * 5 + 2x * 5) + 4x 48 + 4x = (-45 + 10x) + 4x Combine like terms: 10x + 4x = 14x 48 + 4x = -45 + 14x Solving 48 + 4x = -45 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 48 + 4x + -14x = -45 + 14x + -14x Combine like terms: 4x + -14x = -10x 48 + -10x = -45 + 14x + -14x Combine like terms: 14x + -14x = 0 48 + -10x = -45 + 0 48 + -10x = -45 Add '-48' to each side of the equation. 48 + -48 + -10x = -45 + -48 Combine like terms: 48 + -48 = 0 0 + -10x = -45 + -48 -10x = -45 + -48 Combine like terms: -45 + -48 = -93 -10x = -93 Divide each side by '-10'. x = 9.3 Simplifying x = 9.3
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