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Simplifying 5(2x + -3) + -8(3x + 7) + 63 = 3(6 + -5x) + -13 Reorder the terms: 5(-3 + 2x) + -8(3x + 7) + 63 = 3(6 + -5x) + -13 (-3 * 5 + 2x * 5) + -8(3x + 7) + 63 = 3(6 + -5x) + -13 (-15 + 10x) + -8(3x + 7) + 63 = 3(6 + -5x) + -13 Reorder the terms: -15 + 10x + -8(7 + 3x) + 63 = 3(6 + -5x) + -13 -15 + 10x + (7 * -8 + 3x * -8) + 63 = 3(6 + -5x) + -13 -15 + 10x + (-56 + -24x) + 63 = 3(6 + -5x) + -13 Reorder the terms: -15 + -56 + 63 + 10x + -24x = 3(6 + -5x) + -13 Combine like terms: -15 + -56 = -71 -71 + 63 + 10x + -24x = 3(6 + -5x) + -13 Combine like terms: -71 + 63 = -8 -8 + 10x + -24x = 3(6 + -5x) + -13 Combine like terms: 10x + -24x = -14x -8 + -14x = 3(6 + -5x) + -13 -8 + -14x = (6 * 3 + -5x * 3) + -13 -8 + -14x = (18 + -15x) + -13 Reorder the terms: -8 + -14x = 18 + -13 + -15x Combine like terms: 18 + -13 = 5 -8 + -14x = 5 + -15x Solving -8 + -14x = 5 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -8 + -14x + 15x = 5 + -15x + 15x Combine like terms: -14x + 15x = 1x -8 + 1x = 5 + -15x + 15x Combine like terms: -15x + 15x = 0 -8 + 1x = 5 + 0 -8 + 1x = 5 Add '8' to each side of the equation. -8 + 8 + 1x = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 5 + 8 1x = 5 + 8 Combine like terms: 5 + 8 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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