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Simplifying -2(-5 + 4x) + -3(7 + x) = -4x + -6x (-5 * -2 + 4x * -2) + -3(7 + x) = -4x + -6x (10 + -8x) + -3(7 + x) = -4x + -6x 10 + -8x + (7 * -3 + x * -3) = -4x + -6x 10 + -8x + (-21 + -3x) = -4x + -6x Reorder the terms: 10 + -21 + -8x + -3x = -4x + -6x Combine like terms: 10 + -21 = -11 -11 + -8x + -3x = -4x + -6x Combine like terms: -8x + -3x = -11x -11 + -11x = -4x + -6x Combine like terms: -4x + -6x = -10x -11 + -11x = -10x Solving -11 + -11x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -11 + -11x + 10x = -10x + 10x Combine like terms: -11x + 10x = -1x -11 + -1x = -10x + 10x Combine like terms: -10x + 10x = 0 -11 + -1x = 0 Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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