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Simplifying 2(x + -2) + 6 = 5x + -13 Reorder the terms: 2(-2 + x) + 6 = 5x + -13 (-2 * 2 + x * 2) + 6 = 5x + -13 (-4 + 2x) + 6 = 5x + -13 Reorder the terms: -4 + 6 + 2x = 5x + -13 Combine like terms: -4 + 6 = 2 2 + 2x = 5x + -13 Reorder the terms: 2 + 2x = -13 + 5x Solving 2 + 2x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 2x + -5x = -13 + 5x + -5x Combine like terms: 2x + -5x = -3x 2 + -3x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -3x = -13 + 0 2 + -3x = -13 Add '-2' to each side of the equation. 2 + -2 + -3x = -13 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -13 + -2 -3x = -13 + -2 Combine like terms: -13 + -2 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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