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Simplifying 7(x + -9) + -3(2x + 9) = 5(-3x + -4) Reorder the terms: 7(-9 + x) + -3(2x + 9) = 5(-3x + -4) (-9 * 7 + x * 7) + -3(2x + 9) = 5(-3x + -4) (-63 + 7x) + -3(2x + 9) = 5(-3x + -4) Reorder the terms: -63 + 7x + -3(9 + 2x) = 5(-3x + -4) -63 + 7x + (9 * -3 + 2x * -3) = 5(-3x + -4) -63 + 7x + (-27 + -6x) = 5(-3x + -4) Reorder the terms: -63 + -27 + 7x + -6x = 5(-3x + -4) Combine like terms: -63 + -27 = -90 -90 + 7x + -6x = 5(-3x + -4) Combine like terms: 7x + -6x = 1x -90 + 1x = 5(-3x + -4) Reorder the terms: -90 + 1x = 5(-4 + -3x) -90 + 1x = (-4 * 5 + -3x * 5) -90 + 1x = (-20 + -15x) Solving -90 + 1x = -20 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -90 + 1x + 15x = -20 + -15x + 15x Combine like terms: 1x + 15x = 16x -90 + 16x = -20 + -15x + 15x Combine like terms: -15x + 15x = 0 -90 + 16x = -20 + 0 -90 + 16x = -20 Add '90' to each side of the equation. -90 + 90 + 16x = -20 + 90 Combine like terms: -90 + 90 = 0 0 + 16x = -20 + 90 16x = -20 + 90 Combine like terms: -20 + 90 = 70 16x = 70 Divide each side by '16'. x = 4.375 Simplifying x = 4.375
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