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Simplifying 6(-9x + 4) = 4(1 + -2x) + 3(6x + -4) Reorder the terms: 6(4 + -9x) = 4(1 + -2x) + 3(6x + -4) (4 * 6 + -9x * 6) = 4(1 + -2x) + 3(6x + -4) (24 + -54x) = 4(1 + -2x) + 3(6x + -4) 24 + -54x = (1 * 4 + -2x * 4) + 3(6x + -4) 24 + -54x = (4 + -8x) + 3(6x + -4) Reorder the terms: 24 + -54x = 4 + -8x + 3(-4 + 6x) 24 + -54x = 4 + -8x + (-4 * 3 + 6x * 3) 24 + -54x = 4 + -8x + (-12 + 18x) Reorder the terms: 24 + -54x = 4 + -12 + -8x + 18x Combine like terms: 4 + -12 = -8 24 + -54x = -8 + -8x + 18x Combine like terms: -8x + 18x = 10x 24 + -54x = -8 + 10x Solving 24 + -54x = -8 + 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. 24 + -54x + -10x = -8 + 10x + -10x Combine like terms: -54x + -10x = -64x 24 + -64x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -64x = -8 + 0 24 + -64x = -8 Add '-24' to each side of the equation. 24 + -24 + -64x = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -64x = -8 + -24 -64x = -8 + -24 Combine like terms: -8 + -24 = -32 -64x = -32 Divide each side by '-64'. x = 0.5 Simplifying x = 0.5
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