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Simplifying 0.5(8x + 18) + -4 = 3(x + -2) Reorder the terms: 0.5(18 + 8x) + -4 = 3(x + -2) (18 * 0.5 + 8x * 0.5) + -4 = 3(x + -2) (9 + 4x) + -4 = 3(x + -2) Reorder the terms: 9 + -4 + 4x = 3(x + -2) Combine like terms: 9 + -4 = 5 5 + 4x = 3(x + -2) Reorder the terms: 5 + 4x = 3(-2 + x) 5 + 4x = (-2 * 3 + x * 3) 5 + 4x = (-6 + 3x) Solving 5 + 4x = -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. 5 + 4x + -3x = -6 + 3x + -3x Combine like terms: 4x + -3x = 1x 5 + 1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 1x = -6 + 0 5 + 1x = -6 Add '-5' to each side of the equation. 5 + -5 + 1x = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -6 + -5 1x = -6 + -5 Combine like terms: -6 + -5 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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