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Simplifying 7x + 5 = 10(x + -7 + -3x) Reorder the terms: 5 + 7x = 10(x + -7 + -3x) Reorder the terms: 5 + 7x = 10(-7 + x + -3x) Combine like terms: x + -3x = -2x 5 + 7x = 10(-7 + -2x) 5 + 7x = (-7 * 10 + -2x * 10) 5 + 7x = (-70 + -20x) Solving 5 + 7x = -70 + -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. 5 + 7x + 20x = -70 + -20x + 20x Combine like terms: 7x + 20x = 27x 5 + 27x = -70 + -20x + 20x Combine like terms: -20x + 20x = 0 5 + 27x = -70 + 0 5 + 27x = -70 Add '-5' to each side of the equation. 5 + -5 + 27x = -70 + -5 Combine like terms: 5 + -5 = 0 0 + 27x = -70 + -5 27x = -70 + -5 Combine like terms: -70 + -5 = -75 27x = -75 Divide each side by '27'. x = -2.777777778 Simplifying x = -2.777777778
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