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Simplifying 7(x + 2) + -10x = -2(1 + 3x + 7) Reorder the terms: 7(2 + x) + -10x = -2(1 + 3x + 7) (2 * 7 + x * 7) + -10x = -2(1 + 3x + 7) (14 + 7x) + -10x = -2(1 + 3x + 7) Combine like terms: 7x + -10x = -3x 14 + -3x = -2(1 + 3x + 7) Reorder the terms: 14 + -3x = -2(1 + 7 + 3x) Combine like terms: 1 + 7 = 8 14 + -3x = -2(8 + 3x) 14 + -3x = (8 * -2 + 3x * -2) 14 + -3x = (-16 + -6x) Solving 14 + -3x = -16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 14 + -3x + 6x = -16 + -6x + 6x Combine like terms: -3x + 6x = 3x 14 + 3x = -16 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + 3x = -16 + 0 14 + 3x = -16 Add '-14' to each side of the equation. 14 + -14 + 3x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = -16 + -14 3x = -16 + -14 Combine like terms: -16 + -14 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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