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Simplifying 3(x + 5) + -2(3 + 5) + -5x = 13 + 4(x + -1) Reorder the terms: 3(5 + x) + -2(3 + 5) + -5x = 13 + 4(x + -1) (5 * 3 + x * 3) + -2(3 + 5) + -5x = 13 + 4(x + -1) (15 + 3x) + -2(3 + 5) + -5x = 13 + 4(x + -1) Combine like terms: 3 + 5 = 8 15 + 3x + -2(8) + -5x = 13 + 4(x + -1) Multiply -2 * 8 15 + 3x + -16 + -5x = 13 + 4(x + -1) Reorder the terms: 15 + -16 + 3x + -5x = 13 + 4(x + -1) Combine like terms: 15 + -16 = -1 -1 + 3x + -5x = 13 + 4(x + -1) Combine like terms: 3x + -5x = -2x -1 + -2x = 13 + 4(x + -1) Reorder the terms: -1 + -2x = 13 + 4(-1 + x) -1 + -2x = 13 + (-1 * 4 + x * 4) -1 + -2x = 13 + (-4 + 4x) Combine like terms: 13 + -4 = 9 -1 + -2x = 9 + 4x Solving -1 + -2x = 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. -1 + -2x + -4x = 9 + 4x + -4x Combine like terms: -2x + -4x = -6x -1 + -6x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -6x = 9 + 0 -1 + -6x = 9 Add '1' to each side of the equation. -1 + 1 + -6x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 9 + 1 -6x = 9 + 1 Combine like terms: 9 + 1 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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