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Simplifying 4(x + -2) = 3(1.5 + 3x) Reorder the terms: 4(-2 + x) = 3(1.5 + 3x) (-2 * 4 + x * 4) = 3(1.5 + 3x) (-8 + 4x) = 3(1.5 + 3x) -8 + 4x = (1.5 * 3 + 3x * 3) -8 + 4x = (4.5 + 9x) Solving -8 + 4x = 4.5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + 4x + -9x = 4.5 + 9x + -9x Combine like terms: 4x + -9x = -5x -8 + -5x = 4.5 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -5x = 4.5 + 0 -8 + -5x = 4.5 Add '8' to each side of the equation. -8 + 8 + -5x = 4.5 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 4.5 + 8 -5x = 4.5 + 8 Combine like terms: 4.5 + 8 = 12.5 -5x = 12.5 Divide each side by '-5'. x = -2.5 Simplifying x = -2.5
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