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Simplifying 0.5(4x + -6) + 2 = 3(x + 2) Reorder the terms: 0.5(-6 + 4x) + 2 = 3(x + 2) (-6 * 0.5 + 4x * 0.5) + 2 = 3(x + 2) (-3 + 2x) + 2 = 3(x + 2) Reorder the terms: -3 + 2 + 2x = 3(x + 2) Combine like terms: -3 + 2 = -1 -1 + 2x = 3(x + 2) Reorder the terms: -1 + 2x = 3(2 + x) -1 + 2x = (2 * 3 + x * 3) -1 + 2x = (6 + 3x) Solving -1 + 2x = 6 + 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. -1 + 2x + -3x = 6 + 3x + -3x Combine like terms: 2x + -3x = -1x -1 + -1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -1x = 6 + 0 -1 + -1x = 6 Add '1' to each side of the equation. -1 + 1 + -1x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 6 + 1 -1x = 6 + 1 Combine like terms: 6 + 1 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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