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Simplifying 2(3x + -4) = -5(2x + 3) + -1x Reorder the terms: 2(-4 + 3x) = -5(2x + 3) + -1x (-4 * 2 + 3x * 2) = -5(2x + 3) + -1x (-8 + 6x) = -5(2x + 3) + -1x Reorder the terms: -8 + 6x = -5(3 + 2x) + -1x -8 + 6x = (3 * -5 + 2x * -5) + -1x -8 + 6x = (-15 + -10x) + -1x Combine like terms: -10x + -1x = -11x -8 + 6x = -15 + -11x Solving -8 + 6x = -15 + -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. -8 + 6x + 11x = -15 + -11x + 11x Combine like terms: 6x + 11x = 17x -8 + 17x = -15 + -11x + 11x Combine like terms: -11x + 11x = 0 -8 + 17x = -15 + 0 -8 + 17x = -15 Add '8' to each side of the equation. -8 + 8 + 17x = -15 + 8 Combine like terms: -8 + 8 = 0 0 + 17x = -15 + 8 17x = -15 + 8 Combine like terms: -15 + 8 = -7 17x = -7 Divide each side by '17'. x = -0.4117647059 Simplifying x = -0.4117647059
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