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Simplifying 24 = 10(x + -1) + 4x + (x + 4) Reorder the terms: 24 = 10(-1 + x) + 4x + (x + 4) 24 = (-1 * 10 + x * 10) + 4x + (x + 4) 24 = (-10 + 10x) + 4x + (x + 4) Reorder the terms: 24 = -10 + 10x + 4x + (4 + x) Remove parenthesis around (4 + x) 24 = -10 + 10x + 4x + 4 + x Reorder the terms: 24 = -10 + 4 + 10x + 4x + x Combine like terms: -10 + 4 = -6 24 = -6 + 10x + 4x + x Combine like terms: 10x + 4x = 14x 24 = -6 + 14x + x Combine like terms: 14x + x = 15x 24 = -6 + 15x Solving 24 = -6 + 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. 24 + -15x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + -15x = -6 + 0 24 + -15x = -6 Add '-24' to each side of the equation. 24 + -24 + -15x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -15x = -6 + -24 -15x = -6 + -24 Combine like terms: -6 + -24 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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