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Simplifying (3x + -4) + -10(x + -3) = 10(2x + -3) Reorder the terms: (-4 + 3x) + -10(x + -3) = 10(2x + -3) Remove parenthesis around (-4 + 3x) -4 + 3x + -10(x + -3) = 10(2x + -3) Reorder the terms: -4 + 3x + -10(-3 + x) = 10(2x + -3) -4 + 3x + (-3 * -10 + x * -10) = 10(2x + -3) -4 + 3x + (30 + -10x) = 10(2x + -3) Reorder the terms: -4 + 30 + 3x + -10x = 10(2x + -3) Combine like terms: -4 + 30 = 26 26 + 3x + -10x = 10(2x + -3) Combine like terms: 3x + -10x = -7x 26 + -7x = 10(2x + -3) Reorder the terms: 26 + -7x = 10(-3 + 2x) 26 + -7x = (-3 * 10 + 2x * 10) 26 + -7x = (-30 + 20x) Solving 26 + -7x = -30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 26 + -7x + -20x = -30 + 20x + -20x Combine like terms: -7x + -20x = -27x 26 + -27x = -30 + 20x + -20x Combine like terms: 20x + -20x = 0 26 + -27x = -30 + 0 26 + -27x = -30 Add '-26' to each side of the equation. 26 + -26 + -27x = -30 + -26 Combine like terms: 26 + -26 = 0 0 + -27x = -30 + -26 -27x = -30 + -26 Combine like terms: -30 + -26 = -56 -27x = -56 Divide each side by '-27'. x = 2.074074074 Simplifying x = 2.074074074
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