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Simplifying -8(x + -3) + x = 6(-4 + -1x) Reorder the terms: -8(-3 + x) + x = 6(-4 + -1x) (-3 * -8 + x * -8) + x = 6(-4 + -1x) (24 + -8x) + x = 6(-4 + -1x) Combine like terms: -8x + x = -7x 24 + -7x = 6(-4 + -1x) 24 + -7x = (-4 * 6 + -1x * 6) 24 + -7x = (-24 + -6x) Solving 24 + -7x = -24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 24 + -7x + 6x = -24 + -6x + 6x Combine like terms: -7x + 6x = -1x 24 + -1x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 24 + -1x = -24 + 0 24 + -1x = -24 Add '-24' to each side of the equation. 24 + -24 + -1x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -24 + -24 -1x = -24 + -24 Combine like terms: -24 + -24 = -48 -1x = -48 Divide each side by '-1'. x = 48 Simplifying x = 48
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