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Simplifying 2(x + -3) + 5x = 13 + -4(1 + -1x) Reorder the terms: 2(-3 + x) + 5x = 13 + -4(1 + -1x) (-3 * 2 + x * 2) + 5x = 13 + -4(1 + -1x) (-6 + 2x) + 5x = 13 + -4(1 + -1x) Combine like terms: 2x + 5x = 7x -6 + 7x = 13 + -4(1 + -1x) -6 + 7x = 13 + (1 * -4 + -1x * -4) -6 + 7x = 13 + (-4 + 4x) Combine like terms: 13 + -4 = 9 -6 + 7x = 9 + 4x Solving -6 + 7x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 7x + -4x = 9 + 4x + -4x Combine like terms: 7x + -4x = 3x -6 + 3x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 3x = 9 + 0 -6 + 3x = 9 Add '6' to each side of the equation. -6 + 6 + 3x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 9 + 6 3x = 9 + 6 Combine like terms: 9 + 6 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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