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Simplifying 2x + 27 + -1(4x + -24) = 3x + -27 + -1(2x + 27) Reorder the terms: 2x + 27 + -1(-24 + 4x) = 3x + -27 + -1(2x + 27) 2x + 27 + (-24 * -1 + 4x * -1) = 3x + -27 + -1(2x + 27) 2x + 27 + (24 + -4x) = 3x + -27 + -1(2x + 27) Reorder the terms: 27 + 24 + 2x + -4x = 3x + -27 + -1(2x + 27) Combine like terms: 27 + 24 = 51 51 + 2x + -4x = 3x + -27 + -1(2x + 27) Combine like terms: 2x + -4x = -2x 51 + -2x = 3x + -27 + -1(2x + 27) Reorder the terms: 51 + -2x = 3x + -27 + -1(27 + 2x) 51 + -2x = 3x + -27 + (27 * -1 + 2x * -1) 51 + -2x = 3x + -27 + (-27 + -2x) Reorder the terms: 51 + -2x = -27 + -27 + 3x + -2x Combine like terms: -27 + -27 = -54 51 + -2x = -54 + 3x + -2x Combine like terms: 3x + -2x = 1x 51 + -2x = -54 + 1x Solving 51 + -2x = -54 + 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. 51 + -2x + -1x = -54 + 1x + -1x Combine like terms: -2x + -1x = -3x 51 + -3x = -54 + 1x + -1x Combine like terms: 1x + -1x = 0 51 + -3x = -54 + 0 51 + -3x = -54 Add '-51' to each side of the equation. 51 + -51 + -3x = -54 + -51 Combine like terms: 51 + -51 = 0 0 + -3x = -54 + -51 -3x = -54 + -51 Combine like terms: -54 + -51 = -105 -3x = -105 Divide each side by '-3'. x = 35 Simplifying x = 35
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