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Simplifying 0.5(2x + 2) = 4(x + -3) Reorder the terms: 0.5(2 + 2x) = 4(x + -3) (2 * 0.5 + 2x * 0.5) = 4(x + -3) (1 + 1x) = 4(x + -3) Reorder the terms: 1 + 1x = 4(-3 + x) 1 + 1x = (-3 * 4 + x * 4) 1 + 1x = (-12 + 4x) Solving 1 + 1x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 1x + -4x = -12 + 4x + -4x Combine like terms: 1x + -4x = -3x 1 + -3x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -3x = -12 + 0 1 + -3x = -12 Add '-1' to each side of the equation. 1 + -1 + -3x = -12 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -12 + -1 -3x = -12 + -1 Combine like terms: -12 + -1 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333
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