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Simplifying 5(2x + -3) = 3(x + -4) + 5x Reorder the terms: 5(-3 + 2x) = 3(x + -4) + 5x (-3 * 5 + 2x * 5) = 3(x + -4) + 5x (-15 + 10x) = 3(x + -4) + 5x Reorder the terms: -15 + 10x = 3(-4 + x) + 5x -15 + 10x = (-4 * 3 + x * 3) + 5x -15 + 10x = (-12 + 3x) + 5x Combine like terms: 3x + 5x = 8x -15 + 10x = -12 + 8x Solving -15 + 10x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 10x + -8x = -12 + 8x + -8x Combine like terms: 10x + -8x = 2x -15 + 2x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 2x = -12 + 0 -15 + 2x = -12 Add '15' to each side of the equation. -15 + 15 + 2x = -12 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -12 + 15 2x = -12 + 15 Combine like terms: -12 + 15 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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