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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 = -8 -8 + 5x + -6x = 7x + 12 Combine like terms: 5x + -6x = -1x -8 + -1x = 7x + 12 Reorder the terms: -8 + -1x = 12 + 7x Solving -8 + -1x = 12 + 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. -8 + -1x + -7x = 12 + 7x + -7x Combine like terms: -1x + -7x = -8x -8 + -8x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -8x = 12 + 0 -8 + -8x = 12 Add '8' to each side of the equation. -8 + 8 + -8x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 12 + 8 -8x = 12 + 8 Combine like terms: 12 + 8 = 20 -8x = 20 Divide each side by '-8'. x = -2.5 Simplifying x = -2.5
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