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Simplifying 3(2x + 5) + -8 = 2(X + 24) + -2x + 10 Reorder the terms: 3(5 + 2x) + -8 = 2(X + 24) + -2x + 10 (5 * 3 + 2x * 3) + -8 = 2(X + 24) + -2x + 10 (15 + 6x) + -8 = 2(X + 24) + -2x + 10 Reorder the terms: 15 + -8 + 6x = 2(X + 24) + -2x + 10 Combine like terms: 15 + -8 = 7 7 + 6x = 2(X + 24) + -2x + 10 Reorder the terms: 7 + 6x = 2(24 + X) + -2x + 10 7 + 6x = (24 * 2 + X * 2) + -2x + 10 7 + 6x = (48 + 2X) + -2x + 10 Reorder the terms: 7 + 6x = 48 + 10 + 2X + -2x Combine like terms: 48 + 10 = 58 7 + 6x = 58 + 2X + -2x Solving 7 + 6x = 58 + 2X + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 6x + 2x = 58 + 2X + -2x + 2x Combine like terms: 6x + 2x = 8x 7 + 8x = 58 + 2X + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 8x = 58 + 2X + 0 7 + 8x = 58 + 2X Add '-7' to each side of the equation. 7 + -7 + 8x = 58 + -7 + 2X Combine like terms: 7 + -7 = 0 0 + 8x = 58 + -7 + 2X 8x = 58 + -7 + 2X Combine like terms: 58 + -7 = 51 8x = 51 + 2X Divide each side by '8'. x = 6.375 + 0.25X Simplifying x = 6.375 + 0.25X
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