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Simplifying 6(x + -8) = 7(x + -3 * 2) Reorder the terms: 6(-8 + x) = 7(x + -3 * 2) (-8 * 6 + x * 6) = 7(x + -3 * 2) (-48 + 6x) = 7(x + -3 * 2) Multiply -3 * 2 -48 + 6x = 7(x + -6) Reorder the terms: -48 + 6x = 7(-6 + x) -48 + 6x = (-6 * 7 + x * 7) -48 + 6x = (-42 + 7x) Solving -48 + 6x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -48 + 6x + -7x = -42 + 7x + -7x Combine like terms: 6x + -7x = -1x -48 + -1x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 -48 + -1x = -42 + 0 -48 + -1x = -42 Add '48' to each side of the equation. -48 + 48 + -1x = -42 + 48 Combine like terms: -48 + 48 = 0 0 + -1x = -42 + 48 -1x = -42 + 48 Combine like terms: -42 + 48 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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