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Simplifying (x + -2) + 3(x + 5) = 2x + -2 Reorder the terms: (-2 + x) + 3(x + 5) = 2x + -2 Remove parenthesis around (-2 + x) -2 + x + 3(x + 5) = 2x + -2 Reorder the terms: -2 + x + 3(5 + x) = 2x + -2 -2 + x + (5 * 3 + x * 3) = 2x + -2 -2 + x + (15 + 3x) = 2x + -2 Reorder the terms: -2 + 15 + x + 3x = 2x + -2 Combine like terms: -2 + 15 = 13 13 + x + 3x = 2x + -2 Combine like terms: x + 3x = 4x 13 + 4x = 2x + -2 Reorder the terms: 13 + 4x = -2 + 2x Solving 13 + 4x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 13 + 4x + -2x = -2 + 2x + -2x Combine like terms: 4x + -2x = 2x 13 + 2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 2x = -2 + 0 13 + 2x = -2 Add '-13' to each side of the equation. 13 + -13 + 2x = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = -2 + -13 2x = -2 + -13 Combine like terms: -2 + -13 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5
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