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Simplifying 6(x + 36) + -3(2x + 12) = 4x + -10 Reorder the terms: 6(36 + x) + -3(2x + 12) = 4x + -10 (36 * 6 + x * 6) + -3(2x + 12) = 4x + -10 (216 + 6x) + -3(2x + 12) = 4x + -10 Reorder the terms: 216 + 6x + -3(12 + 2x) = 4x + -10 216 + 6x + (12 * -3 + 2x * -3) = 4x + -10 216 + 6x + (-36 + -6x) = 4x + -10 Reorder the terms: 216 + -36 + 6x + -6x = 4x + -10 Combine like terms: 216 + -36 = 180 180 + 6x + -6x = 4x + -10 Combine like terms: 6x + -6x = 0 180 + 0 = 4x + -10 180 = 4x + -10 Reorder the terms: 180 = -10 + 4x Solving 180 = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 180 + -4x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 180 + -4x = -10 + 0 180 + -4x = -10 Add '-180' to each side of the equation. 180 + -180 + -4x = -10 + -180 Combine like terms: 180 + -180 = 0 0 + -4x = -10 + -180 -4x = -10 + -180 Combine like terms: -10 + -180 = -190 -4x = -190 Divide each side by '-4'. x = 47.5 Simplifying x = 47.5
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