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Simplifying 54 + -1x = 4(x + -3) + -1x(1 + 2) Reorder the terms: 54 + -1x = 4(-3 + x) + -1x(1 + 2) 54 + -1x = (-3 * 4 + x * 4) + -1x(1 + 2) 54 + -1x = (-12 + 4x) + -1x(1 + 2) Combine like terms: 1 + 2 = 3 54 + -1x = -12 + 4x + -1x(3) Reorder the terms for easier multiplication: 54 + -1x = -12 + 4x + -1 * 3x Multiply -1 * 3 54 + -1x = -12 + 4x + -3x Combine like terms: 4x + -3x = 1x 54 + -1x = -12 + 1x Solving 54 + -1x = -12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 54 + -1x + -1x = -12 + 1x + -1x Combine like terms: -1x + -1x = -2x 54 + -2x = -12 + 1x + -1x Combine like terms: 1x + -1x = 0 54 + -2x = -12 + 0 54 + -2x = -12 Add '-54' to each side of the equation. 54 + -54 + -2x = -12 + -54 Combine like terms: 54 + -54 = 0 0 + -2x = -12 + -54 -2x = -12 + -54 Combine like terms: -12 + -54 = -66 -2x = -66 Divide each side by '-2'. x = 33 Simplifying x = 33
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