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Simplifying 12x + -3 + 11 = 4x + -1(17 + -9x) Reorder the terms: -3 + 11 + 12x = 4x + -1(17 + -9x) Combine like terms: -3 + 11 = 8 8 + 12x = 4x + -1(17 + -9x) 8 + 12x = 4x + (17 * -1 + -9x * -1) 8 + 12x = 4x + (-17 + 9x) Reorder the terms: 8 + 12x = -17 + 4x + 9x Combine like terms: 4x + 9x = 13x 8 + 12x = -17 + 13x Solving 8 + 12x = -17 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 8 + 12x + -13x = -17 + 13x + -13x Combine like terms: 12x + -13x = -1x 8 + -1x = -17 + 13x + -13x Combine like terms: 13x + -13x = 0 8 + -1x = -17 + 0 8 + -1x = -17 Add '-8' to each side of the equation. 8 + -8 + -1x = -17 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -17 + -8 -1x = -17 + -8 Combine like terms: -17 + -8 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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