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Simplifying 8(4 + -3x) = 2(8 + -2x) (4 * 8 + -3x * 8) = 2(8 + -2x) (32 + -24x) = 2(8 + -2x) 32 + -24x = (8 * 2 + -2x * 2) 32 + -24x = (16 + -4x) Solving 32 + -24x = 16 + -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. 32 + -24x + 4x = 16 + -4x + 4x Combine like terms: -24x + 4x = -20x 32 + -20x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 32 + -20x = 16 + 0 32 + -20x = 16 Add '-32' to each side of the equation. 32 + -32 + -20x = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -20x = 16 + -32 -20x = 16 + -32 Combine like terms: 16 + -32 = -16 -20x = -16 Divide each side by '-20'. x = 0.8 Simplifying x = 0.8
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