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Simplifying 4(1 + -3x) + -13 = -9x + 2(4x + 12) (1 * 4 + -3x * 4) + -13 = -9x + 2(4x + 12) (4 + -12x) + -13 = -9x + 2(4x + 12) Reorder the terms: 4 + -13 + -12x = -9x + 2(4x + 12) Combine like terms: 4 + -13 = -9 -9 + -12x = -9x + 2(4x + 12) Reorder the terms: -9 + -12x = -9x + 2(12 + 4x) -9 + -12x = -9x + (12 * 2 + 4x * 2) -9 + -12x = -9x + (24 + 8x) Reorder the terms: -9 + -12x = 24 + -9x + 8x Combine like terms: -9x + 8x = -1x -9 + -12x = 24 + -1x Solving -9 + -12x = 24 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + -12x + x = 24 + -1x + x Combine like terms: -12x + x = -11x -9 + -11x = 24 + -1x + x Combine like terms: -1x + x = 0 -9 + -11x = 24 + 0 -9 + -11x = 24 Add '9' to each side of the equation. -9 + 9 + -11x = 24 + 9 Combine like terms: -9 + 9 = 0 0 + -11x = 24 + 9 -11x = 24 + 9 Combine like terms: 24 + 9 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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