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