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Simplifying 1.5(x + 1) = 4x Reorder the terms: 1.5(1 + x) = 4x (1 * 1.5 + x * 1.5) = 4x (1.5 + 1.5x) = 4x Solving 1.5 + 1.5x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1.5 + 1.5x + -4x = 4x + -4x Combine like terms: 1.5x + -4x = -2.5x 1.5 + -2.5x = 4x + -4x Combine like terms: 4x + -4x = 0 1.5 + -2.5x = 0 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -2.5x = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -2.5x = 0 + -1.5 -2.5x = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -2.5x = -1.5 Divide each side by '-2.5'. x = 0.6 Simplifying x = 0.6
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