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