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Simplifying 5(2x + -3) + 3(5x + -6) + 13 = 8(3x + 7) + -63 Reorder the terms: 5(-3 + 2x) + 3(5x + -6) + 13 = 8(3x + 7) + -63 (-3 * 5 + 2x * 5) + 3(5x + -6) + 13 = 8(3x + 7) + -63 (-15 + 10x) + 3(5x + -6) + 13 = 8(3x + 7) + -63 Reorder the terms: -15 + 10x + 3(-6 + 5x) + 13 = 8(3x + 7) + -63 -15 + 10x + (-6 * 3 + 5x * 3) + 13 = 8(3x + 7) + -63 -15 + 10x + (-18 + 15x) + 13 = 8(3x + 7) + -63 Reorder the terms: -15 + -18 + 13 + 10x + 15x = 8(3x + 7) + -63 Combine like terms: -15 + -18 = -33 -33 + 13 + 10x + 15x = 8(3x + 7) + -63 Combine like terms: -33 + 13 = -20 -20 + 10x + 15x = 8(3x + 7) + -63 Combine like terms: 10x + 15x = 25x -20 + 25x = 8(3x + 7) + -63 Reorder the terms: -20 + 25x = 8(7 + 3x) + -63 -20 + 25x = (7 * 8 + 3x * 8) + -63 -20 + 25x = (56 + 24x) + -63 Reorder the terms: -20 + 25x = 56 + -63 + 24x Combine like terms: 56 + -63 = -7 -20 + 25x = -7 + 24x Solving -20 + 25x = -7 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -20 + 25x + -24x = -7 + 24x + -24x Combine like terms: 25x + -24x = 1x -20 + 1x = -7 + 24x + -24x Combine like terms: 24x + -24x = 0 -20 + 1x = -7 + 0 -20 + 1x = -7 Add '20' to each side of the equation. -20 + 20 + 1x = -7 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = -7 + 20 1x = -7 + 20 Combine like terms: -7 + 20 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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