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Simplifying 0.5[4x + 3] = 5x + -2.5 Reorder the terms: 0.5[3 + 4x] = 5x + -2.5 [3 * 0.5 + 4x * 0.5] = 5x + -2.5 [1.5 + 2x] = 5x + -2.5 Reorder the terms: 1.5 + 2x = -2.5 + 5x Solving 1.5 + 2x = -2.5 + 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. 1.5 + 2x + -5x = -2.5 + 5x + -5x Combine like terms: 2x + -5x = -3x 1.5 + -3x = -2.5 + 5x + -5x Combine like terms: 5x + -5x = 0 1.5 + -3x = -2.5 + 0 1.5 + -3x = -2.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -3x = -2.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -3x = -2.5 + -1.5 -3x = -2.5 + -1.5 Combine like terms: -2.5 + -1.5 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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