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Simplifying 8(x + 6) + -10 = 3(x + 12) + 7x Reorder the terms: 8(6 + x) + -10 = 3(x + 12) + 7x (6 * 8 + x * 8) + -10 = 3(x + 12) + 7x (48 + 8x) + -10 = 3(x + 12) + 7x Reorder the terms: 48 + -10 + 8x = 3(x + 12) + 7x Combine like terms: 48 + -10 = 38 38 + 8x = 3(x + 12) + 7x Reorder the terms: 38 + 8x = 3(12 + x) + 7x 38 + 8x = (12 * 3 + x * 3) + 7x 38 + 8x = (36 + 3x) + 7x Combine like terms: 3x + 7x = 10x 38 + 8x = 36 + 10x Solving 38 + 8x = 36 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 38 + 8x + -10x = 36 + 10x + -10x Combine like terms: 8x + -10x = -2x 38 + -2x = 36 + 10x + -10x Combine like terms: 10x + -10x = 0 38 + -2x = 36 + 0 38 + -2x = 36 Add '-38' to each side of the equation. 38 + -38 + -2x = 36 + -38 Combine like terms: 38 + -38 = 0 0 + -2x = 36 + -38 -2x = 36 + -38 Combine like terms: 36 + -38 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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