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Simplifying 48 = -2(24 + -1x) + 4(x + -3) 48 = (24 * -2 + -1x * -2) + 4(x + -3) 48 = (-48 + 2x) + 4(x + -3) Reorder the terms: 48 = -48 + 2x + 4(-3 + x) 48 = -48 + 2x + (-3 * 4 + x * 4) 48 = -48 + 2x + (-12 + 4x) Reorder the terms: 48 = -48 + -12 + 2x + 4x Combine like terms: -48 + -12 = -60 48 = -60 + 2x + 4x Combine like terms: 2x + 4x = 6x 48 = -60 + 6x Solving 48 = -60 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 48 + -6x = -60 + 6x + -6x Combine like terms: 6x + -6x = 0 48 + -6x = -60 + 0 48 + -6x = -60 Add '-48' to each side of the equation. 48 + -48 + -6x = -60 + -48 Combine like terms: 48 + -48 = 0 0 + -6x = -60 + -48 -6x = -60 + -48 Combine like terms: -60 + -48 = -108 -6x = -108 Divide each side by '-6'. x = 18 Simplifying x = 18
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