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Simplifying 4(6x + 10) + -24 = 6x + -20 Reorder the terms: 4(10 + 6x) + -24 = 6x + -20 (10 * 4 + 6x * 4) + -24 = 6x + -20 (40 + 24x) + -24 = 6x + -20 Reorder the terms: 40 + -24 + 24x = 6x + -20 Combine like terms: 40 + -24 = 16 16 + 24x = 6x + -20 Reorder the terms: 16 + 24x = -20 + 6x Solving 16 + 24x = -20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 16 + 24x + -6x = -20 + 6x + -6x Combine like terms: 24x + -6x = 18x 16 + 18x = -20 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + 18x = -20 + 0 16 + 18x = -20 Add '-16' to each side of the equation. 16 + -16 + 18x = -20 + -16 Combine like terms: 16 + -16 = 0 0 + 18x = -20 + -16 18x = -20 + -16 Combine like terms: -20 + -16 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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