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Simplifying -9x + 48 = -2(x + -3) Reorder the terms: 48 + -9x = -2(x + -3) Reorder the terms: 48 + -9x = -2(-3 + x) 48 + -9x = (-3 * -2 + x * -2) 48 + -9x = (6 + -2x) Solving 48 + -9x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 48 + -9x + 2x = 6 + -2x + 2x Combine like terms: -9x + 2x = -7x 48 + -7x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 48 + -7x = 6 + 0 48 + -7x = 6 Add '-48' to each side of the equation. 48 + -48 + -7x = 6 + -48 Combine like terms: 48 + -48 = 0 0 + -7x = 6 + -48 -7x = 6 + -48 Combine like terms: 6 + -48 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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