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Simplifying 3(x + -2) + 15x = 2(13 + x) Reorder the terms: 3(-2 + x) + 15x = 2(13 + x) (-2 * 3 + x * 3) + 15x = 2(13 + x) (-6 + 3x) + 15x = 2(13 + x) Combine like terms: 3x + 15x = 18x -6 + 18x = 2(13 + x) -6 + 18x = (13 * 2 + x * 2) -6 + 18x = (26 + 2x) Solving -6 + 18x = 26 + 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. -6 + 18x + -2x = 26 + 2x + -2x Combine like terms: 18x + -2x = 16x -6 + 16x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 16x = 26 + 0 -6 + 16x = 26 Add '6' to each side of the equation. -6 + 6 + 16x = 26 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = 26 + 6 16x = 26 + 6 Combine like terms: 26 + 6 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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