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Simplifying 10(x + 7) = 4(x + 12) Reorder the terms: 10(7 + x) = 4(x + 12) (7 * 10 + x * 10) = 4(x + 12) (70 + 10x) = 4(x + 12) Reorder the terms: 70 + 10x = 4(12 + x) 70 + 10x = (12 * 4 + x * 4) 70 + 10x = (48 + 4x) Solving 70 + 10x = 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 + 10x + -4x = 48 + 4x + -4x Combine like terms: 10x + -4x = 6x 70 + 6x = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 70 + 6x = 48 + 0 70 + 6x = 48 Add '-70' to each side of the equation. 70 + -70 + 6x = 48 + -70 Combine like terms: 70 + -70 = 0 0 + 6x = 48 + -70 6x = 48 + -70 Combine like terms: 48 + -70 = -22 6x = -22 Divide each side by '6'. x = -3.666666667 Simplifying x = -3.666666667
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