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Simplifying 5 + 3(2x + -8) = 2(x + -4) + -8(9 + -1x) Reorder the terms: 5 + 3(-8 + 2x) = 2(x + -4) + -8(9 + -1x) 5 + (-8 * 3 + 2x * 3) = 2(x + -4) + -8(9 + -1x) 5 + (-24 + 6x) = 2(x + -4) + -8(9 + -1x) Combine like terms: 5 + -24 = -19 -19 + 6x = 2(x + -4) + -8(9 + -1x) Reorder the terms: -19 + 6x = 2(-4 + x) + -8(9 + -1x) -19 + 6x = (-4 * 2 + x * 2) + -8(9 + -1x) -19 + 6x = (-8 + 2x) + -8(9 + -1x) -19 + 6x = -8 + 2x + (9 * -8 + -1x * -8) -19 + 6x = -8 + 2x + (-72 + 8x) Reorder the terms: -19 + 6x = -8 + -72 + 2x + 8x Combine like terms: -8 + -72 = -80 -19 + 6x = -80 + 2x + 8x Combine like terms: 2x + 8x = 10x -19 + 6x = -80 + 10x Solving -19 + 6x = -80 + 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. -19 + 6x + -10x = -80 + 10x + -10x Combine like terms: 6x + -10x = -4x -19 + -4x = -80 + 10x + -10x Combine like terms: 10x + -10x = 0 -19 + -4x = -80 + 0 -19 + -4x = -80 Add '19' to each side of the equation. -19 + 19 + -4x = -80 + 19 Combine like terms: -19 + 19 = 0 0 + -4x = -80 + 19 -4x = -80 + 19 Combine like terms: -80 + 19 = -61 -4x = -61 Divide each side by '-4'. x = 15.25 Simplifying x = 15.25
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