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Simplifying 3x + 7(x + -10) = 3(x + -14) Reorder the terms: 3x + 7(-10 + x) = 3(x + -14) 3x + (-10 * 7 + x * 7) = 3(x + -14) 3x + (-70 + 7x) = 3(x + -14) Reorder the terms: -70 + 3x + 7x = 3(x + -14) Combine like terms: 3x + 7x = 10x -70 + 10x = 3(x + -14) Reorder the terms: -70 + 10x = 3(-14 + x) -70 + 10x = (-14 * 3 + x * 3) -70 + 10x = (-42 + 3x) Solving -70 + 10x = -42 + 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. -70 + 10x + -3x = -42 + 3x + -3x Combine like terms: 10x + -3x = 7x -70 + 7x = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 -70 + 7x = -42 + 0 -70 + 7x = -42 Add '70' to each side of the equation. -70 + 70 + 7x = -42 + 70 Combine like terms: -70 + 70 = 0 0 + 7x = -42 + 70 7x = -42 + 70 Combine like terms: -42 + 70 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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