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Simplifying 3x + -7(x + -1) = 10 + -5(2x + 3) Reorder the terms: 3x + -7(-1 + x) = 10 + -5(2x + 3) 3x + (-1 * -7 + x * -7) = 10 + -5(2x + 3) 3x + (7 + -7x) = 10 + -5(2x + 3) Reorder the terms: 7 + 3x + -7x = 10 + -5(2x + 3) Combine like terms: 3x + -7x = -4x 7 + -4x = 10 + -5(2x + 3) Reorder the terms: 7 + -4x = 10 + -5(3 + 2x) 7 + -4x = 10 + (3 * -5 + 2x * -5) 7 + -4x = 10 + (-15 + -10x) Combine like terms: 10 + -15 = -5 7 + -4x = -5 + -10x Solving 7 + -4x = -5 + -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. 7 + -4x + 10x = -5 + -10x + 10x Combine like terms: -4x + 10x = 6x 7 + 6x = -5 + -10x + 10x Combine like terms: -10x + 10x = 0 7 + 6x = -5 + 0 7 + 6x = -5 Add '-7' to each side of the equation. 7 + -7 + 6x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = -5 + -7 6x = -5 + -7 Combine like terms: -5 + -7 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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