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Simplifying 4(2x + 5) + -9x = -1(4 + -12x) Reorder the terms: 4(5 + 2x) + -9x = -1(4 + -12x) (5 * 4 + 2x * 4) + -9x = -1(4 + -12x) (20 + 8x) + -9x = -1(4 + -12x) Combine like terms: 8x + -9x = -1x 20 + -1x = -1(4 + -12x) 20 + -1x = (4 * -1 + -12x * -1) 20 + -1x = (-4 + 12x) Solving 20 + -1x = -4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 20 + -1x + -12x = -4 + 12x + -12x Combine like terms: -1x + -12x = -13x 20 + -13x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -13x = -4 + 0 20 + -13x = -4 Add '-20' to each side of the equation. 20 + -20 + -13x = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -13x = -4 + -20 -13x = -4 + -20 Combine like terms: -4 + -20 = -24 -13x = -24 Divide each side by '-13'. x = 1.846153846 Simplifying x = 1.846153846
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