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Simplifying x + 5(x + 2) = 3(3x + -2) + 1 Reorder the terms: x + 5(2 + x) = 3(3x + -2) + 1 x + (2 * 5 + x * 5) = 3(3x + -2) + 1 x + (10 + 5x) = 3(3x + -2) + 1 Reorder the terms: 10 + x + 5x = 3(3x + -2) + 1 Combine like terms: x + 5x = 6x 10 + 6x = 3(3x + -2) + 1 Reorder the terms: 10 + 6x = 3(-2 + 3x) + 1 10 + 6x = (-2 * 3 + 3x * 3) + 1 10 + 6x = (-6 + 9x) + 1 Reorder the terms: 10 + 6x = -6 + 1 + 9x Combine like terms: -6 + 1 = -5 10 + 6x = -5 + 9x Solving 10 + 6x = -5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 6x + -9x = -5 + 9x + -9x Combine like terms: 6x + -9x = -3x 10 + -3x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -3x = -5 + 0 10 + -3x = -5 Add '-10' to each side of the equation. 10 + -10 + -3x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -5 + -10 -3x = -5 + -10 Combine like terms: -5 + -10 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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