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Simplifying 3(x + 10) = 4(12 + -4x) + x Reorder the terms: 3(10 + x) = 4(12 + -4x) + x (10 * 3 + x * 3) = 4(12 + -4x) + x (30 + 3x) = 4(12 + -4x) + x 30 + 3x = (12 * 4 + -4x * 4) + x 30 + 3x = (48 + -16x) + x Combine like terms: -16x + x = -15x 30 + 3x = 48 + -15x Solving 30 + 3x = 48 + -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. 30 + 3x + 15x = 48 + -15x + 15x Combine like terms: 3x + 15x = 18x 30 + 18x = 48 + -15x + 15x Combine like terms: -15x + 15x = 0 30 + 18x = 48 + 0 30 + 18x = 48 Add '-30' to each side of the equation. 30 + -30 + 18x = 48 + -30 Combine like terms: 30 + -30 = 0 0 + 18x = 48 + -30 18x = 48 + -30 Combine like terms: 48 + -30 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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