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Simplifying 4(2x + -9) + 5x = -3(10 + -1x) Reorder the terms: 4(-9 + 2x) + 5x = -3(10 + -1x) (-9 * 4 + 2x * 4) + 5x = -3(10 + -1x) (-36 + 8x) + 5x = -3(10 + -1x) Combine like terms: 8x + 5x = 13x -36 + 13x = -3(10 + -1x) -36 + 13x = (10 * -3 + -1x * -3) -36 + 13x = (-30 + 3x) Solving -36 + 13x = -30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -36 + 13x + -3x = -30 + 3x + -3x Combine like terms: 13x + -3x = 10x -36 + 10x = -30 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 10x = -30 + 0 -36 + 10x = -30 Add '36' to each side of the equation. -36 + 36 + 10x = -30 + 36 Combine like terms: -36 + 36 = 0 0 + 10x = -30 + 36 10x = -30 + 36 Combine like terms: -30 + 36 = 6 10x = 6 Divide each side by '10'. x = 0.6 Simplifying x = 0.6
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