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Simplifying (8x + -4) * 0.5 + -18 = 14(2x + 2) Reorder the terms: (-4 + 8x) * 0.5 + -18 = 14(2x + 2) Reorder the terms for easier multiplication: 0.5(-4 + 8x) + -18 = 14(2x + 2) (-4 * 0.5 + 8x * 0.5) + -18 = 14(2x + 2) (-2 + 4x) + -18 = 14(2x + 2) Reorder the terms: -2 + -18 + 4x = 14(2x + 2) Combine like terms: -2 + -18 = -20 -20 + 4x = 14(2x + 2) Reorder the terms: -20 + 4x = 14(2 + 2x) -20 + 4x = (2 * 14 + 2x * 14) -20 + 4x = (28 + 28x) Solving -20 + 4x = 28 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -20 + 4x + -28x = 28 + 28x + -28x Combine like terms: 4x + -28x = -24x -20 + -24x = 28 + 28x + -28x Combine like terms: 28x + -28x = 0 -20 + -24x = 28 + 0 -20 + -24x = 28 Add '20' to each side of the equation. -20 + 20 + -24x = 28 + 20 Combine like terms: -20 + 20 = 0 0 + -24x = 28 + 20 -24x = 28 + 20 Combine like terms: 28 + 20 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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