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Simplifying -7(x + 10) + 14x = 3x + 7(x + 2) Reorder the terms: -7(10 + x) + 14x = 3x + 7(x + 2) (10 * -7 + x * -7) + 14x = 3x + 7(x + 2) (-70 + -7x) + 14x = 3x + 7(x + 2) Combine like terms: -7x + 14x = 7x -70 + 7x = 3x + 7(x + 2) Reorder the terms: -70 + 7x = 3x + 7(2 + x) -70 + 7x = 3x + (2 * 7 + x * 7) -70 + 7x = 3x + (14 + 7x) Reorder the terms: -70 + 7x = 14 + 3x + 7x Combine like terms: 3x + 7x = 10x -70 + 7x = 14 + 10x Solving -70 + 7x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -70 + 7x + -10x = 14 + 10x + -10x Combine like terms: 7x + -10x = -3x -70 + -3x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 -70 + -3x = 14 + 0 -70 + -3x = 14 Add '70' to each side of the equation. -70 + 70 + -3x = 14 + 70 Combine like terms: -70 + 70 = 0 0 + -3x = 14 + 70 -3x = 14 + 70 Combine like terms: 14 + 70 = 84 -3x = 84 Divide each side by '-3'. x = -28 Simplifying x = -28
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