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Simplifying 54 = -2(21 + -1x) + 4(x + -3) 54 = (21 * -2 + -1x * -2) + 4(x + -3) 54 = (-42 + 2x) + 4(x + -3) Reorder the terms: 54 = -42 + 2x + 4(-3 + x) 54 = -42 + 2x + (-3 * 4 + x * 4) 54 = -42 + 2x + (-12 + 4x) Reorder the terms: 54 = -42 + -12 + 2x + 4x Combine like terms: -42 + -12 = -54 54 = -54 + 2x + 4x Combine like terms: 2x + 4x = 6x 54 = -54 + 6x Solving 54 = -54 + 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. 54 + -6x = -54 + 6x + -6x Combine like terms: 6x + -6x = 0 54 + -6x = -54 + 0 54 + -6x = -54 Add '-54' to each side of the equation. 54 + -54 + -6x = -54 + -54 Combine like terms: 54 + -54 = 0 0 + -6x = -54 + -54 -6x = -54 + -54 Combine like terms: -54 + -54 = -108 -6x = -108 Divide each side by '-6'. x = 18 Simplifying x = 18
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