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Simplifying 3(x + -2) + -4(2x + 3) = 5x Reorder the terms: 3(-2 + x) + -4(2x + 3) = 5x (-2 * 3 + x * 3) + -4(2x + 3) = 5x (-6 + 3x) + -4(2x + 3) = 5x Reorder the terms: -6 + 3x + -4(3 + 2x) = 5x -6 + 3x + (3 * -4 + 2x * -4) = 5x -6 + 3x + (-12 + -8x) = 5x Reorder the terms: -6 + -12 + 3x + -8x = 5x Combine like terms: -6 + -12 = -18 -18 + 3x + -8x = 5x Combine like terms: 3x + -8x = -5x -18 + -5x = 5x Solving -18 + -5x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + -5x + -5x = 5x + -5x Combine like terms: -5x + -5x = -10x -18 + -10x = 5x + -5x Combine like terms: 5x + -5x = 0 -18 + -10x = 0 Add '18' to each side of the equation. -18 + 18 + -10x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -10x = 0 + 18 -10x = 0 + 18 Combine like terms: 0 + 18 = 18 -10x = 18 Divide each side by '-10'. x = -1.8 Simplifying x = -1.8
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