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Simplifying 7(2x + 12) = 4 + -10(x + -5) Reorder the terms: 7(12 + 2x) = 4 + -10(x + -5) (12 * 7 + 2x * 7) = 4 + -10(x + -5) (84 + 14x) = 4 + -10(x + -5) Reorder the terms: 84 + 14x = 4 + -10(-5 + x) 84 + 14x = 4 + (-5 * -10 + x * -10) 84 + 14x = 4 + (50 + -10x) Combine like terms: 4 + 50 = 54 84 + 14x = 54 + -10x Solving 84 + 14x = 54 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 84 + 14x + 10x = 54 + -10x + 10x Combine like terms: 14x + 10x = 24x 84 + 24x = 54 + -10x + 10x Combine like terms: -10x + 10x = 0 84 + 24x = 54 + 0 84 + 24x = 54 Add '-84' to each side of the equation. 84 + -84 + 24x = 54 + -84 Combine like terms: 84 + -84 = 0 0 + 24x = 54 + -84 24x = 54 + -84 Combine like terms: 54 + -84 = -30 24x = -30 Divide each side by '24'. x = -1.25 Simplifying x = -1.25
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