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Simplifying 0.5(2x + 6) = 5x + -12 + -1x Reorder the terms: 0.5(6 + 2x) = 5x + -12 + -1x (6 * 0.5 + 2x * 0.5) = 5x + -12 + -1x (3 + 1x) = 5x + -12 + -1x Reorder the terms: 3 + 1x = -12 + 5x + -1x Combine like terms: 5x + -1x = 4x 3 + 1x = -12 + 4x Solving 3 + 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. 3 + 1x + -4x = -12 + 4x + -4x Combine like terms: 1x + -4x = -3x 3 + -3x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -3x = -12 + 0 3 + -3x = -12 Add '-3' to each side of the equation. 3 + -3 + -3x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -12 + -3 -3x = -12 + -3 Combine like terms: -12 + -3 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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