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Simplifying 0.5(6 + 4) + -0.25(8x + -12) = 0.5(2x + -4) Combine like terms: 6 + 4 = 10 0.5(10) + -0.25(8x + -12) = 0.5(2x + -4) Multiply 0.5 * 10 5 + -0.25(8x + -12) = 0.5(2x + -4) Reorder the terms: 5 + -0.25(-12 + 8x) = 0.5(2x + -4) 5 + (-12 * -0.25 + 8x * -0.25) = 0.5(2x + -4) 5 + (3 + -2x) = 0.5(2x + -4) Combine like terms: 5 + 3 = 8 8 + -2x = 0.5(2x + -4) Reorder the terms: 8 + -2x = 0.5(-4 + 2x) 8 + -2x = (-4 * 0.5 + 2x * 0.5) 8 + -2x = (-2 + 1x) Solving 8 + -2x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + -2x + -1x = -2 + 1x + -1x Combine like terms: -2x + -1x = -3x 8 + -3x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + -3x = -2 + 0 8 + -3x = -2 Add '-8' to each side of the equation. 8 + -8 + -3x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -2 + -8 -3x = -2 + -8 Combine like terms: -2 + -8 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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