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Simplifying 0.5(6x + 12) + -4x = -3(x + 1) Reorder the terms: 0.5(12 + 6x) + -4x = -3(x + 1) (12 * 0.5 + 6x * 0.5) + -4x = -3(x + 1) (6 + 3x) + -4x = -3(x + 1) Combine like terms: 3x + -4x = -1x 6 + -1x = -3(x + 1) Reorder the terms: 6 + -1x = -3(1 + x) 6 + -1x = (1 * -3 + x * -3) 6 + -1x = (-3 + -3x) Solving 6 + -1x = -3 + -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. 6 + -1x + 3x = -3 + -3x + 3x Combine like terms: -1x + 3x = 2x 6 + 2x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 2x = -3 + 0 6 + 2x = -3 Add '-6' to each side of the equation. 6 + -6 + 2x = -3 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -3 + -6 2x = -3 + -6 Combine like terms: -3 + -6 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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