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Simplifying -2(5x + -7) + (3x + 2) = 4x + -2(3 + x) Reorder the terms: -2(-7 + 5x) + (3x + 2) = 4x + -2(3 + x) (-7 * -2 + 5x * -2) + (3x + 2) = 4x + -2(3 + x) (14 + -10x) + (3x + 2) = 4x + -2(3 + x) Reorder the terms: 14 + -10x + (2 + 3x) = 4x + -2(3 + x) Remove parenthesis around (2 + 3x) 14 + -10x + 2 + 3x = 4x + -2(3 + x) Reorder the terms: 14 + 2 + -10x + 3x = 4x + -2(3 + x) Combine like terms: 14 + 2 = 16 16 + -10x + 3x = 4x + -2(3 + x) Combine like terms: -10x + 3x = -7x 16 + -7x = 4x + -2(3 + x) 16 + -7x = 4x + (3 * -2 + x * -2) 16 + -7x = 4x + (-6 + -2x) Reorder the terms: 16 + -7x = -6 + 4x + -2x Combine like terms: 4x + -2x = 2x 16 + -7x = -6 + 2x Solving 16 + -7x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 16 + -7x + -2x = -6 + 2x + -2x Combine like terms: -7x + -2x = -9x 16 + -9x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + -9x = -6 + 0 16 + -9x = -6 Add '-16' to each side of the equation. 16 + -16 + -9x = -6 + -16 Combine like terms: 16 + -16 = 0 0 + -9x = -6 + -16 -9x = -6 + -16 Combine like terms: -6 + -16 = -22 -9x = -22 Divide each side by '-9'. x = 2.444444444 Simplifying x = 2.444444444
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