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Simplifying 4(3x + 6) + 11 + 3(2x + -7) = 8(8x + -4) Reorder the terms: 4(6 + 3x) + 11 + 3(2x + -7) = 8(8x + -4) (6 * 4 + 3x * 4) + 11 + 3(2x + -7) = 8(8x + -4) (24 + 12x) + 11 + 3(2x + -7) = 8(8x + -4) Reorder the terms: 24 + 12x + 11 + 3(-7 + 2x) = 8(8x + -4) 24 + 12x + 11 + (-7 * 3 + 2x * 3) = 8(8x + -4) 24 + 12x + 11 + (-21 + 6x) = 8(8x + -4) Reorder the terms: 24 + 11 + -21 + 12x + 6x = 8(8x + -4) Combine like terms: 24 + 11 = 35 35 + -21 + 12x + 6x = 8(8x + -4) Combine like terms: 35 + -21 = 14 14 + 12x + 6x = 8(8x + -4) Combine like terms: 12x + 6x = 18x 14 + 18x = 8(8x + -4) Reorder the terms: 14 + 18x = 8(-4 + 8x) 14 + 18x = (-4 * 8 + 8x * 8) 14 + 18x = (-32 + 64x) Solving 14 + 18x = -32 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. 14 + 18x + -64x = -32 + 64x + -64x Combine like terms: 18x + -64x = -46x 14 + -46x = -32 + 64x + -64x Combine like terms: 64x + -64x = 0 14 + -46x = -32 + 0 14 + -46x = -32 Add '-14' to each side of the equation. 14 + -14 + -46x = -32 + -14 Combine like terms: 14 + -14 = 0 0 + -46x = -32 + -14 -46x = -32 + -14 Combine like terms: -32 + -14 = -46 -46x = -46 Divide each side by '-46'. x = 1 Simplifying x = 1
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