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Simplifying 3(2 + 6x) + -8(x + -5) = 4(3x + 2) (2 * 3 + 6x * 3) + -8(x + -5) = 4(3x + 2) (6 + 18x) + -8(x + -5) = 4(3x + 2) Reorder the terms: 6 + 18x + -8(-5 + x) = 4(3x + 2) 6 + 18x + (-5 * -8 + x * -8) = 4(3x + 2) 6 + 18x + (40 + -8x) = 4(3x + 2) Reorder the terms: 6 + 40 + 18x + -8x = 4(3x + 2) Combine like terms: 6 + 40 = 46 46 + 18x + -8x = 4(3x + 2) Combine like terms: 18x + -8x = 10x 46 + 10x = 4(3x + 2) Reorder the terms: 46 + 10x = 4(2 + 3x) 46 + 10x = (2 * 4 + 3x * 4) 46 + 10x = (8 + 12x) Solving 46 + 10x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 46 + 10x + -12x = 8 + 12x + -12x Combine like terms: 10x + -12x = -2x 46 + -2x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 46 + -2x = 8 + 0 46 + -2x = 8 Add '-46' to each side of the equation. 46 + -46 + -2x = 8 + -46 Combine like terms: 46 + -46 = 0 0 + -2x = 8 + -46 -2x = 8 + -46 Combine like terms: 8 + -46 = -38 -2x = -38 Divide each side by '-2'. x = 19 Simplifying x = 19
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