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Simplifying x + -3(x + -7) + -2(x + 4) = 0 Reorder the terms: x + -3(-7 + x) + -2(x + 4) = 0 x + (-7 * -3 + x * -3) + -2(x + 4) = 0 x + (21 + -3x) + -2(x + 4) = 0 Reorder the terms: x + 21 + -3x + -2(4 + x) = 0 x + 21 + -3x + (4 * -2 + x * -2) = 0 x + 21 + -3x + (-8 + -2x) = 0 Reorder the terms: 21 + -8 + x + -3x + -2x = 0 Combine like terms: 21 + -8 = 13 13 + x + -3x + -2x = 0 Combine like terms: x + -3x = -2x 13 + -2x + -2x = 0 Combine like terms: -2x + -2x = -4x 13 + -4x = 0 Solving 13 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 0 + -13 -4x = 0 + -13 Combine like terms: 0 + -13 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25
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