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Simplifying 3(5x + -2) + 5(13 + -2x) = 2(2x + 1) + -1 Reorder the terms: 3(-2 + 5x) + 5(13 + -2x) = 2(2x + 1) + -1 (-2 * 3 + 5x * 3) + 5(13 + -2x) = 2(2x + 1) + -1 (-6 + 15x) + 5(13 + -2x) = 2(2x + 1) + -1 -6 + 15x + (13 * 5 + -2x * 5) = 2(2x + 1) + -1 -6 + 15x + (65 + -10x) = 2(2x + 1) + -1 Reorder the terms: -6 + 65 + 15x + -10x = 2(2x + 1) + -1 Combine like terms: -6 + 65 = 59 59 + 15x + -10x = 2(2x + 1) + -1 Combine like terms: 15x + -10x = 5x 59 + 5x = 2(2x + 1) + -1 Reorder the terms: 59 + 5x = 2(1 + 2x) + -1 59 + 5x = (1 * 2 + 2x * 2) + -1 59 + 5x = (2 + 4x) + -1 Reorder the terms: 59 + 5x = 2 + -1 + 4x Combine like terms: 2 + -1 = 1 59 + 5x = 1 + 4x Solving 59 + 5x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 59 + 5x + -4x = 1 + 4x + -4x Combine like terms: 5x + -4x = 1x 59 + 1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 59 + 1x = 1 + 0 59 + 1x = 1 Add '-59' to each side of the equation. 59 + -59 + 1x = 1 + -59 Combine like terms: 59 + -59 = 0 0 + 1x = 1 + -59 1x = 1 + -59 Combine like terms: 1 + -59 = -58 1x = -58 Divide each side by '1'. x = -58 Simplifying x = -58
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