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Simplifying 24 = (x + 4) + 10(x + -1) + 4x Reorder the terms: 24 = (4 + x) + 10(x + -1) + 4x Remove parenthesis around (4 + x) 24 = 4 + x + 10(x + -1) + 4x Reorder the terms: 24 = 4 + x + 10(-1 + x) + 4x 24 = 4 + x + (-1 * 10 + x * 10) + 4x 24 = 4 + x + (-10 + 10x) + 4x Reorder the terms: 24 = 4 + -10 + x + 10x + 4x Combine like terms: 4 + -10 = -6 24 = -6 + x + 10x + 4x Combine like terms: x + 10x = 11x 24 = -6 + 11x + 4x Combine like terms: 11x + 4x = 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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