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Simplifying 5(x + 2) + 2(1 + -3x) = 7x + 12 Reorder the terms: 5(2 + x) + 2(1 + -3x) = 7x + 12 (2 * 5 + x * 5) + 2(1 + -3x) = 7x + 12 (10 + 5x) + 2(1 + -3x) = 7x + 12 10 + 5x + (1 * 2 + -3x * 2) = 7x + 12 10 + 5x + (2 + -6x) = 7x + 12 Reorder the terms: 10 + 2 + 5x + -6x = 7x + 12 Combine like terms: 10 + 2 = 12 12 + 5x + -6x = 7x + 12 Combine like terms: 5x + -6x = -1x 12 + -1x = 7x + 12 Reorder the terms: 12 + -1x = 12 + 7x Add '-12' to each side of the equation. 12 + -12 + -1x = 12 + -12 + 7x Combine like terms: 12 + -12 = 0 0 + -1x = 12 + -12 + 7x -1x = 12 + -12 + 7x Combine like terms: 12 + -12 = 0 -1x = 0 + 7x -1x = 7x Solving -1x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1x + -7x = 7x + -7x Combine like terms: -1x + -7x = -8x -8x = 7x + -7x Combine like terms: 7x + -7x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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