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Simplifying 4(x + 0.5) + 10.5 = 2(x + 11.5) * 2.5 Reorder the terms: 4(0.5 + x) + 10.5 = 2(x + 11.5) * 2.5 (0.5 * 4 + x * 4) + 10.5 = 2(x + 11.5) * 2.5 (2 + 4x) + 10.5 = 2(x + 11.5) * 2.5 Reorder the terms: 2 + 10.5 + 4x = 2(x + 11.5) * 2.5 Combine like terms: 2 + 10.5 = 12.5 12.5 + 4x = 2(x + 11.5) * 2.5 Reorder the terms: 12.5 + 4x = 2(11.5 + x) * 2.5 Reorder the terms for easier multiplication: 12.5 + 4x = 2 * 2.5(11.5 + x) Multiply 2 * 2.5 12.5 + 4x = 5(11.5 + x) 12.5 + 4x = (11.5 * 5 + x * 5) 12.5 + 4x = (57.5 + 5x) Solving 12.5 + 4x = 57.5 + 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. 12.5 + 4x + -5x = 57.5 + 5x + -5x Combine like terms: 4x + -5x = -1x 12.5 + -1x = 57.5 + 5x + -5x Combine like terms: 5x + -5x = 0 12.5 + -1x = 57.5 + 0 12.5 + -1x = 57.5 Add '-12.5' to each side of the equation. 12.5 + -12.5 + -1x = 57.5 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -1x = 57.5 + -12.5 -1x = 57.5 + -12.5 Combine like terms: 57.5 + -12.5 = 45 -1x = 45 Divide each side by '-1'. x = -45 Simplifying x = -45
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