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Simplifying 3x + y + 15 = 2(x + 1) + -5 Reorder the terms: 15 + 3x + y = 2(x + 1) + -5 Reorder the terms: 15 + 3x + y = 2(1 + x) + -5 15 + 3x + y = (1 * 2 + x * 2) + -5 15 + 3x + y = (2 + 2x) + -5 Reorder the terms: 15 + 3x + y = 2 + -5 + 2x Combine like terms: 2 + -5 = -3 15 + 3x + y = -3 + 2x Solving 15 + 3x + y = -3 + 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. 15 + 3x + -2x + y = -3 + 2x + -2x Combine like terms: 3x + -2x = 1x 15 + 1x + y = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 1x + y = -3 + 0 15 + 1x + y = -3 Add '-15' to each side of the equation. 15 + 1x + -15 + y = -3 + -15 Reorder the terms: 15 + -15 + 1x + y = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 1x + y = -3 + -15 1x + y = -3 + -15 Combine like terms: -3 + -15 = -18 1x + y = -18 Add '-1y' to each side of the equation. 1x + y + -1y = -18 + -1y Combine like terms: y + -1y = 0 1x + 0 = -18 + -1y 1x = -18 + -1y Divide each side by '1'. x = -18 + -1y Simplifying x = -18 + -1y
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