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Simplifying 7(x + -3) + -3(5x + -1) = 4(2 + -3x) + -1(9 + -5x) Reorder the terms: 7(-3 + x) + -3(5x + -1) = 4(2 + -3x) + -1(9 + -5x) (-3 * 7 + x * 7) + -3(5x + -1) = 4(2 + -3x) + -1(9 + -5x) (-21 + 7x) + -3(5x + -1) = 4(2 + -3x) + -1(9 + -5x) Reorder the terms: -21 + 7x + -3(-1 + 5x) = 4(2 + -3x) + -1(9 + -5x) -21 + 7x + (-1 * -3 + 5x * -3) = 4(2 + -3x) + -1(9 + -5x) -21 + 7x + (3 + -15x) = 4(2 + -3x) + -1(9 + -5x) Reorder the terms: -21 + 3 + 7x + -15x = 4(2 + -3x) + -1(9 + -5x) Combine like terms: -21 + 3 = -18 -18 + 7x + -15x = 4(2 + -3x) + -1(9 + -5x) Combine like terms: 7x + -15x = -8x -18 + -8x = 4(2 + -3x) + -1(9 + -5x) -18 + -8x = (2 * 4 + -3x * 4) + -1(9 + -5x) -18 + -8x = (8 + -12x) + -1(9 + -5x) -18 + -8x = 8 + -12x + (9 * -1 + -5x * -1) -18 + -8x = 8 + -12x + (-9 + 5x) Reorder the terms: -18 + -8x = 8 + -9 + -12x + 5x Combine like terms: 8 + -9 = -1 -18 + -8x = -1 + -12x + 5x Combine like terms: -12x + 5x = -7x -18 + -8x = -1 + -7x Solving -18 + -8x = -1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -18 + -8x + 7x = -1 + -7x + 7x Combine like terms: -8x + 7x = -1x -18 + -1x = -1 + -7x + 7x Combine like terms: -7x + 7x = 0 -18 + -1x = -1 + 0 -18 + -1x = -1 Add '18' to each side of the equation. -18 + 18 + -1x = -1 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = -1 + 18 -1x = -1 + 18 Combine like terms: -1 + 18 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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