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Simplifying (3x + -7) + -1(4x + 3) = 2x + 5 Reorder the terms: (-7 + 3x) + -1(4x + 3) = 2x + 5 Remove parenthesis around (-7 + 3x) -7 + 3x + -1(4x + 3) = 2x + 5 Reorder the terms: -7 + 3x + -1(3 + 4x) = 2x + 5 -7 + 3x + (3 * -1 + 4x * -1) = 2x + 5 -7 + 3x + (-3 + -4x) = 2x + 5 Reorder the terms: -7 + -3 + 3x + -4x = 2x + 5 Combine like terms: -7 + -3 = -10 -10 + 3x + -4x = 2x + 5 Combine like terms: 3x + -4x = -1x -10 + -1x = 2x + 5 Reorder the terms: -10 + -1x = 5 + 2x Solving -10 + -1x = 5 + 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. -10 + -1x + -2x = 5 + 2x + -2x Combine like terms: -1x + -2x = -3x -10 + -3x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -3x = 5 + 0 -10 + -3x = 5 Add '10' to each side of the equation. -10 + 10 + -3x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 5 + 10 -3x = 5 + 10 Combine like terms: 5 + 10 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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