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Simplifying 4x + -48 = -2(x + 9) Reorder the terms: -48 + 4x = -2(x + 9) Reorder the terms: -48 + 4x = -2(9 + x) -48 + 4x = (9 * -2 + x * -2) -48 + 4x = (-18 + -2x) Solving -48 + 4x = -18 + -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 + 4x + 2x = -18 + -2x + 2x Combine like terms: 4x + 2x = 6x -48 + 6x = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 -48 + 6x = -18 + 0 -48 + 6x = -18 Add '48' to each side of the equation. -48 + 48 + 6x = -18 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = -18 + 48 6x = -18 + 48 Combine like terms: -18 + 48 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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