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Simplifying 6(x + -8) = 7(x + -3) Reorder the terms: 6(-8 + x) = 7(x + -3) (-8 * 6 + x * 6) = 7(x + -3) (-48 + 6x) = 7(x + -3) Reorder the terms: -48 + 6x = 7(-3 + x) -48 + 6x = (-3 * 7 + x * 7) -48 + 6x = (-21 + 7x) Solving -48 + 6x = -21 + 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 = -21 + 7x + -7x Combine like terms: 6x + -7x = -1x -48 + -1x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -48 + -1x = -21 + 0 -48 + -1x = -21 Add '48' to each side of the equation. -48 + 48 + -1x = -21 + 48 Combine like terms: -48 + 48 = 0 0 + -1x = -21 + 48 -1x = -21 + 48 Combine like terms: -21 + 48 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27
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