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Simplifying 7(10 + 2x) = 4(x + 12) (10 * 7 + 2x * 7) = 4(x + 12) (70 + 14x) = 4(x + 12) Reorder the terms: 70 + 14x = 4(12 + x) 70 + 14x = (12 * 4 + x * 4) 70 + 14x = (48 + 4x) Solving 70 + 14x = 48 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 70 + 14x + -4x = 48 + 4x + -4x Combine like terms: 14x + -4x = 10x 70 + 10x = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 70 + 10x = 48 + 0 70 + 10x = 48 Add '-70' to each side of the equation. 70 + -70 + 10x = 48 + -70 Combine like terms: 70 + -70 = 0 0 + 10x = 48 + -70 10x = 48 + -70 Combine like terms: 48 + -70 = -22 10x = -22 Divide each side by '10'. x = -2.2 Simplifying x = -2.2
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