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Simplifying -4x + -2x = 6(x + -4) + -3(7 + x) Combine like terms: -4x + -2x = -6x -6x = 6(x + -4) + -3(7 + x) Reorder the terms: -6x = 6(-4 + x) + -3(7 + x) -6x = (-4 * 6 + x * 6) + -3(7 + x) -6x = (-24 + 6x) + -3(7 + x) -6x = -24 + 6x + (7 * -3 + x * -3) -6x = -24 + 6x + (-21 + -3x) Reorder the terms: -6x = -24 + -21 + 6x + -3x Combine like terms: -24 + -21 = -45 -6x = -45 + 6x + -3x Combine like terms: 6x + -3x = 3x -6x = -45 + 3x Solving -6x = -45 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6x + -3x = -45 + 3x + -3x Combine like terms: -6x + -3x = -9x -9x = -45 + 3x + -3x Combine like terms: 3x + -3x = 0 -9x = -45 + 0 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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