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Simplifying 7(5x + -2) = 4(x + 12) Reorder the terms: 7(-2 + 5x) = 4(x + 12) (-2 * 7 + 5x * 7) = 4(x + 12) (-14 + 35x) = 4(x + 12) Reorder the terms: -14 + 35x = 4(12 + x) -14 + 35x = (12 * 4 + x * 4) -14 + 35x = (48 + 4x) Solving -14 + 35x = 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. -14 + 35x + -4x = 48 + 4x + -4x Combine like terms: 35x + -4x = 31x -14 + 31x = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 31x = 48 + 0 -14 + 31x = 48 Add '14' to each side of the equation. -14 + 14 + 31x = 48 + 14 Combine like terms: -14 + 14 = 0 0 + 31x = 48 + 14 31x = 48 + 14 Combine like terms: 48 + 14 = 62 31x = 62 Divide each side by '31'. x = 2 Simplifying x = 2
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