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Simplifying 4(1x + -2) = 3(1.5 + 1x) Reorder the terms: 4(-2 + 1x) = 3(1.5 + 1x) (-2 * 4 + 1x * 4) = 3(1.5 + 1x) (-8 + 4x) = 3(1.5 + 1x) -8 + 4x = (1.5 * 3 + 1x * 3) -8 + 4x = (4.5 + 3x) Solving -8 + 4x = 4.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 4x + -3x = 4.5 + 3x + -3x Combine like terms: 4x + -3x = 1x -8 + 1x = 4.5 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 1x = 4.5 + 0 -8 + 1x = 4.5 Add '8' to each side of the equation. -8 + 8 + 1x = 4.5 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 4.5 + 8 1x = 4.5 + 8 Combine like terms: 4.5 + 8 = 12.5 1x = 12.5 Divide each side by '1'. x = 12.5 Simplifying x = 12.5
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