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Simplifying 0.5(6x + -8) + -27 + 7 = 4(x + 2) + 4 Reorder the terms: 0.5(-8 + 6x) + -27 + 7 = 4(x + 2) + 4 (-8 * 0.5 + 6x * 0.5) + -27 + 7 = 4(x + 2) + 4 (-4 + 3x) + -27 + 7 = 4(x + 2) + 4 Reorder the terms: -4 + -27 + 7 + 3x = 4(x + 2) + 4 Combine like terms: -4 + -27 = -31 -31 + 7 + 3x = 4(x + 2) + 4 Combine like terms: -31 + 7 = -24 -24 + 3x = 4(x + 2) + 4 Reorder the terms: -24 + 3x = 4(2 + x) + 4 -24 + 3x = (2 * 4 + x * 4) + 4 -24 + 3x = (8 + 4x) + 4 Reorder the terms: -24 + 3x = 8 + 4 + 4x Combine like terms: 8 + 4 = 12 -24 + 3x = 12 + 4x Solving -24 + 3x = 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. -24 + 3x + -4x = 12 + 4x + -4x Combine like terms: 3x + -4x = -1x -24 + -1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + -1x = 12 + 0 -24 + -1x = 12 Add '24' to each side of the equation. -24 + 24 + -1x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 12 + 24 -1x = 12 + 24 Combine like terms: 12 + 24 = 36 -1x = 36 Divide each side by '-1'. x = -36 Simplifying x = -36
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