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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 = 8.5 8.5 + 4x = 2(x + 11.5) + -2.5 Reorder the terms: 8.5 + 4x = 2(11.5 + x) + -2.5 8.5 + 4x = (11.5 * 2 + x * 2) + -2.5 8.5 + 4x = (23 + 2x) + -2.5 Reorder the terms: 8.5 + 4x = 23 + -2.5 + 2x Combine like terms: 23 + -2.5 = 20.5 8.5 + 4x = 20.5 + 2x Solving 8.5 + 4x = 20.5 + 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. 8.5 + 4x + -2x = 20.5 + 2x + -2x Combine like terms: 4x + -2x = 2x 8.5 + 2x = 20.5 + 2x + -2x Combine like terms: 2x + -2x = 0 8.5 + 2x = 20.5 + 0 8.5 + 2x = 20.5 Add '-8.5' to each side of the equation. 8.5 + -8.5 + 2x = 20.5 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + 2x = 20.5 + -8.5 2x = 20.5 + -8.5 Combine like terms: 20.5 + -8.5 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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