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Simplifying -4 = 4(x + -9) + -1(3x + -2) Reorder the terms: -4 = 4(-9 + x) + -1(3x + -2) -4 = (-9 * 4 + x * 4) + -1(3x + -2) -4 = (-36 + 4x) + -1(3x + -2) Reorder the terms: -4 = -36 + 4x + -1(-2 + 3x) -4 = -36 + 4x + (-2 * -1 + 3x * -1) -4 = -36 + 4x + (2 + -3x) Reorder the terms: -4 = -36 + 2 + 4x + -3x Combine like terms: -36 + 2 = -34 -4 = -34 + 4x + -3x Combine like terms: 4x + -3x = 1x -4 = -34 + 1x Solving -4 = -34 + 1x 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. -4 + -1x = -34 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + -1x = -34 + 0 -4 + -1x = -34 Add '4' to each side of the equation. -4 + 4 + -1x = -34 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -34 + 4 -1x = -34 + 4 Combine like terms: -34 + 4 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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