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Simplifying 10 = 15x + 40 + 3(5 + -4x) 10 = 15x + 40 + (5 * 3 + -4x * 3) 10 = 15x + 40 + (15 + -12x) Reorder the terms: 10 = 40 + 15 + 15x + -12x Combine like terms: 40 + 15 = 55 10 = 55 + 15x + -12x Combine like terms: 15x + -12x = 3x 10 = 55 + 3x Solving 10 = 55 + 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. 10 + -3x = 55 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -3x = 55 + 0 10 + -3x = 55 Add '-10' to each side of the equation. 10 + -10 + -3x = 55 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 55 + -10 -3x = 55 + -10 Combine like terms: 55 + -10 = 45 -3x = 45 Divide each side by '-3'. x = -15 Simplifying x = -15
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