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Simplifying -48 = -6x + 6(-3x + 16) Reorder the terms: -48 = -6x + 6(16 + -3x) -48 = -6x + (16 * 6 + -3x * 6) -48 = -6x + (96 + -18x) Reorder the terms: -48 = 96 + -6x + -18x Combine like terms: -6x + -18x = -24x -48 = 96 + -24x Solving -48 = 96 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -48 + 24x = 96 + -24x + 24x Combine like terms: -24x + 24x = 0 -48 + 24x = 96 + 0 -48 + 24x = 96 Add '48' to each side of the equation. -48 + 48 + 24x = 96 + 48 Combine like terms: -48 + 48 = 0 0 + 24x = 96 + 48 24x = 96 + 48 Combine like terms: 96 + 48 = 144 24x = 144 Divide each side by '24'. x = 6 Simplifying x = 6
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