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Simplifying 8(x + 6) + -10 = 3(x + 12) Reorder the terms: 8(6 + x) + -10 = 3(x + 12) (6 * 8 + x * 8) + -10 = 3(x + 12) (48 + 8x) + -10 = 3(x + 12) Reorder the terms: 48 + -10 + 8x = 3(x + 12) Combine like terms: 48 + -10 = 38 38 + 8x = 3(x + 12) Reorder the terms: 38 + 8x = 3(12 + x) 38 + 8x = (12 * 3 + x * 3) 38 + 8x = (36 + 3x) Solving 38 + 8x = 36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 38 + 8x + -3x = 36 + 3x + -3x Combine like terms: 8x + -3x = 5x 38 + 5x = 36 + 3x + -3x Combine like terms: 3x + -3x = 0 38 + 5x = 36 + 0 38 + 5x = 36 Add '-38' to each side of the equation. 38 + -38 + 5x = 36 + -38 Combine like terms: 38 + -38 = 0 0 + 5x = 36 + -38 5x = 36 + -38 Combine like terms: 36 + -38 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4
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