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Simplifying 3(x + -3) + -4(x + -7) = 23 Reorder the terms: 3(-3 + x) + -4(x + -7) = 23 (-3 * 3 + x * 3) + -4(x + -7) = 23 (-9 + 3x) + -4(x + -7) = 23 Reorder the terms: -9 + 3x + -4(-7 + x) = 23 -9 + 3x + (-7 * -4 + x * -4) = 23 -9 + 3x + (28 + -4x) = 23 Reorder the terms: -9 + 28 + 3x + -4x = 23 Combine like terms: -9 + 28 = 19 19 + 3x + -4x = 23 Combine like terms: 3x + -4x = -1x 19 + -1x = 23 Solving 19 + -1x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1x = 23 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 23 + -19 -1x = 23 + -19 Combine like terms: 23 + -19 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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