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Simplifying 4(2 + -3x) + -6(x + -4) = 2(5 + -5x) (2 * 4 + -3x * 4) + -6(x + -4) = 2(5 + -5x) (8 + -12x) + -6(x + -4) = 2(5 + -5x) Reorder the terms: 8 + -12x + -6(-4 + x) = 2(5 + -5x) 8 + -12x + (-4 * -6 + x * -6) = 2(5 + -5x) 8 + -12x + (24 + -6x) = 2(5 + -5x) Reorder the terms: 8 + 24 + -12x + -6x = 2(5 + -5x) Combine like terms: 8 + 24 = 32 32 + -12x + -6x = 2(5 + -5x) Combine like terms: -12x + -6x = -18x 32 + -18x = 2(5 + -5x) 32 + -18x = (5 * 2 + -5x * 2) 32 + -18x = (10 + -10x) Solving 32 + -18x = 10 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 32 + -18x + 10x = 10 + -10x + 10x Combine like terms: -18x + 10x = -8x 32 + -8x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 32 + -8x = 10 + 0 32 + -8x = 10 Add '-32' to each side of the equation. 32 + -32 + -8x = 10 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = 10 + -32 -8x = 10 + -32 Combine like terms: 10 + -32 = -22 -8x = -22 Divide each side by '-8'. x = 2.75 Simplifying x = 2.75
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