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Simplifying 3(5x + 1) + 2(2x + -1) = 3x + 13 Reorder the terms: 3(1 + 5x) + 2(2x + -1) = 3x + 13 (1 * 3 + 5x * 3) + 2(2x + -1) = 3x + 13 (3 + 15x) + 2(2x + -1) = 3x + 13 Reorder the terms: 3 + 15x + 2(-1 + 2x) = 3x + 13 3 + 15x + (-1 * 2 + 2x * 2) = 3x + 13 3 + 15x + (-2 + 4x) = 3x + 13 Reorder the terms: 3 + -2 + 15x + 4x = 3x + 13 Combine like terms: 3 + -2 = 1 1 + 15x + 4x = 3x + 13 Combine like terms: 15x + 4x = 19x 1 + 19x = 3x + 13 Reorder the terms: 1 + 19x = 13 + 3x Solving 1 + 19x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 19x + -3x = 13 + 3x + -3x Combine like terms: 19x + -3x = 16x 1 + 16x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 16x = 13 + 0 1 + 16x = 13 Add '-1' to each side of the equation. 1 + -1 + 16x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 16x = 13 + -1 16x = 13 + -1 Combine like terms: 13 + -1 = 12 16x = 12 Divide each side by '16'. x = 0.75 Simplifying x = 0.75
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