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Simplifying 4 + -3(x + 2) = 5x + -7(4 + -1x) Reorder the terms: 4 + -3(2 + x) = 5x + -7(4 + -1x) 4 + (2 * -3 + x * -3) = 5x + -7(4 + -1x) 4 + (-6 + -3x) = 5x + -7(4 + -1x) Combine like terms: 4 + -6 = -2 -2 + -3x = 5x + -7(4 + -1x) -2 + -3x = 5x + (4 * -7 + -1x * -7) -2 + -3x = 5x + (-28 + 7x) Reorder the terms: -2 + -3x = -28 + 5x + 7x Combine like terms: 5x + 7x = 12x -2 + -3x = -28 + 12x Solving -2 + -3x = -28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + -3x + -12x = -28 + 12x + -12x Combine like terms: -3x + -12x = -15x -2 + -15x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -15x = -28 + 0 -2 + -15x = -28 Add '2' to each side of the equation. -2 + 2 + -15x = -28 + 2 Combine like terms: -2 + 2 = 0 0 + -15x = -28 + 2 -15x = -28 + 2 Combine like terms: -28 + 2 = -26 -15x = -26 Divide each side by '-15'. x = 1.733333333 Simplifying x = 1.733333333
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