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Simplifying 4(1.5x + 0.25) + 2 = 2(1.5 + x) Reorder the terms: 4(0.25 + 1.5x) + 2 = 2(1.5 + x) (0.25 * 4 + 1.5x * 4) + 2 = 2(1.5 + x) (1 + 6x) + 2 = 2(1.5 + x) Reorder the terms: 1 + 2 + 6x = 2(1.5 + x) Combine like terms: 1 + 2 = 3 3 + 6x = 2(1.5 + x) 3 + 6x = (1.5 * 2 + x * 2) 3 + 6x = (3 + 2x) Add '-3' to each side of the equation. 3 + -3 + 6x = 3 + -3 + 2x Combine like terms: 3 + -3 = 0 0 + 6x = 3 + -3 + 2x 6x = 3 + -3 + 2x Combine like terms: 3 + -3 = 0 6x = 0 + 2x 6x = 2x Solving 6x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6x + -2x = 2x + -2x Combine like terms: 6x + -2x = 4x 4x = 2x + -2x Combine like terms: 2x + -2x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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