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Simplifying 7(x + -9) + -3(2x + 9) = 4(-1x + 5) Reorder the terms: 7(-9 + x) + -3(2x + 9) = 4(-1x + 5) (-9 * 7 + x * 7) + -3(2x + 9) = 4(-1x + 5) (-63 + 7x) + -3(2x + 9) = 4(-1x + 5) Reorder the terms: -63 + 7x + -3(9 + 2x) = 4(-1x + 5) -63 + 7x + (9 * -3 + 2x * -3) = 4(-1x + 5) -63 + 7x + (-27 + -6x) = 4(-1x + 5) Reorder the terms: -63 + -27 + 7x + -6x = 4(-1x + 5) Combine like terms: -63 + -27 = -90 -90 + 7x + -6x = 4(-1x + 5) Combine like terms: 7x + -6x = 1x -90 + 1x = 4(-1x + 5) Reorder the terms: -90 + 1x = 4(5 + -1x) -90 + 1x = (5 * 4 + -1x * 4) -90 + 1x = (20 + -4x) Solving -90 + 1x = 20 + -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. -90 + 1x + 4x = 20 + -4x + 4x Combine like terms: 1x + 4x = 5x -90 + 5x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 -90 + 5x = 20 + 0 -90 + 5x = 20 Add '90' to each side of the equation. -90 + 90 + 5x = 20 + 90 Combine like terms: -90 + 90 = 0 0 + 5x = 20 + 90 5x = 20 + 90 Combine like terms: 20 + 90 = 110 5x = 110 Divide each side by '5'. x = 22 Simplifying x = 22
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