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Simplifying -2(5x + -3) + 10 = 3(x + 1) Reorder the terms: -2(-3 + 5x) + 10 = 3(x + 1) (-3 * -2 + 5x * -2) + 10 = 3(x + 1) (6 + -10x) + 10 = 3(x + 1) Reorder the terms: 6 + 10 + -10x = 3(x + 1) Combine like terms: 6 + 10 = 16 16 + -10x = 3(x + 1) Reorder the terms: 16 + -10x = 3(1 + x) 16 + -10x = (1 * 3 + x * 3) 16 + -10x = (3 + 3x) Solving 16 + -10x = 3 + 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. 16 + -10x + -3x = 3 + 3x + -3x Combine like terms: -10x + -3x = -13x 16 + -13x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + -13x = 3 + 0 16 + -13x = 3 Add '-16' to each side of the equation. 16 + -16 + -13x = 3 + -16 Combine like terms: 16 + -16 = 0 0 + -13x = 3 + -16 -13x = 3 + -16 Combine like terms: 3 + -16 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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