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Simplifying 7(x + -2) + 2(x + -4) = x + 3 Reorder the terms: 7(-2 + x) + 2(x + -4) = x + 3 (-2 * 7 + x * 7) + 2(x + -4) = x + 3 (-14 + 7x) + 2(x + -4) = x + 3 Reorder the terms: -14 + 7x + 2(-4 + x) = x + 3 -14 + 7x + (-4 * 2 + x * 2) = x + 3 -14 + 7x + (-8 + 2x) = x + 3 Reorder the terms: -14 + -8 + 7x + 2x = x + 3 Combine like terms: -14 + -8 = -22 -22 + 7x + 2x = x + 3 Combine like terms: 7x + 2x = 9x -22 + 9x = x + 3 Reorder the terms: -22 + 9x = 3 + x Solving -22 + 9x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -22 + 9x + -1x = 3 + x + -1x Combine like terms: 9x + -1x = 8x -22 + 8x = 3 + x + -1x Combine like terms: x + -1x = 0 -22 + 8x = 3 + 0 -22 + 8x = 3 Add '22' to each side of the equation. -22 + 22 + 8x = 3 + 22 Combine like terms: -22 + 22 = 0 0 + 8x = 3 + 22 8x = 3 + 22 Combine like terms: 3 + 22 = 25 8x = 25 Divide each side by '8'. x = 3.125 Simplifying x = 3.125
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