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