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Simplifying -4x + -2(5x + -7) + 2 = -3(3x + 5) + -4 Reorder the terms: -4x + -2(-7 + 5x) + 2 = -3(3x + 5) + -4 -4x + (-7 * -2 + 5x * -2) + 2 = -3(3x + 5) + -4 -4x + (14 + -10x) + 2 = -3(3x + 5) + -4 Reorder the terms: 14 + 2 + -4x + -10x = -3(3x + 5) + -4 Combine like terms: 14 + 2 = 16 16 + -4x + -10x = -3(3x + 5) + -4 Combine like terms: -4x + -10x = -14x 16 + -14x = -3(3x + 5) + -4 Reorder the terms: 16 + -14x = -3(5 + 3x) + -4 16 + -14x = (5 * -3 + 3x * -3) + -4 16 + -14x = (-15 + -9x) + -4 Reorder the terms: 16 + -14x = -15 + -4 + -9x Combine like terms: -15 + -4 = -19 16 + -14x = -19 + -9x Solving 16 + -14x = -19 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 16 + -14x + 9x = -19 + -9x + 9x Combine like terms: -14x + 9x = -5x 16 + -5x = -19 + -9x + 9x Combine like terms: -9x + 9x = 0 16 + -5x = -19 + 0 16 + -5x = -19 Add '-16' to each side of the equation. 16 + -16 + -5x = -19 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = -19 + -16 -5x = -19 + -16 Combine like terms: -19 + -16 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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