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Simplifying 8(4 + -3x) = 4(3 + -5x) + 4x (4 * 8 + -3x * 8) = 4(3 + -5x) + 4x (32 + -24x) = 4(3 + -5x) + 4x 32 + -24x = (3 * 4 + -5x * 4) + 4x 32 + -24x = (12 + -20x) + 4x Combine like terms: -20x + 4x = -16x 32 + -24x = 12 + -16x Solving 32 + -24x = 12 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 32 + -24x + 16x = 12 + -16x + 16x Combine like terms: -24x + 16x = -8x 32 + -8x = 12 + -16x + 16x Combine like terms: -16x + 16x = 0 32 + -8x = 12 + 0 32 + -8x = 12 Add '-32' to each side of the equation. 32 + -32 + -8x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = 12 + -32 -8x = 12 + -32 Combine like terms: 12 + -32 = -20 -8x = -20 Divide each side by '-8'. x = 2.5 Simplifying x = 2.5
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