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Simplifying 3x + -13 = 2(x + -3) + 1 Reorder the terms: -13 + 3x = 2(x + -3) + 1 Reorder the terms: -13 + 3x = 2(-3 + x) + 1 -13 + 3x = (-3 * 2 + x * 2) + 1 -13 + 3x = (-6 + 2x) + 1 Reorder the terms: -13 + 3x = -6 + 1 + 2x Combine like terms: -6 + 1 = -5 -13 + 3x = -5 + 2x Solving -13 + 3x = -5 + 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 + 3x + -2x = -5 + 2x + -2x Combine like terms: 3x + -2x = 1x -13 + 1x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 1x = -5 + 0 -13 + 1x = -5 Add '13' to each side of the equation. -13 + 13 + 1x = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -5 + 13 1x = -5 + 13 Combine like terms: -5 + 13 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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