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Simplifying 5(2x + -5) + 12 + -16(3x + 9) = 3(7x + 2) Reorder the terms: 5(-5 + 2x) + 12 + -16(3x + 9) = 3(7x + 2) (-5 * 5 + 2x * 5) + 12 + -16(3x + 9) = 3(7x + 2) (-25 + 10x) + 12 + -16(3x + 9) = 3(7x + 2) Reorder the terms: -25 + 10x + 12 + -16(9 + 3x) = 3(7x + 2) -25 + 10x + 12 + (9 * -16 + 3x * -16) = 3(7x + 2) -25 + 10x + 12 + (-144 + -48x) = 3(7x + 2) Reorder the terms: -25 + 12 + -144 + 10x + -48x = 3(7x + 2) Combine like terms: -25 + 12 = -13 -13 + -144 + 10x + -48x = 3(7x + 2) Combine like terms: -13 + -144 = -157 -157 + 10x + -48x = 3(7x + 2) Combine like terms: 10x + -48x = -38x -157 + -38x = 3(7x + 2) Reorder the terms: -157 + -38x = 3(2 + 7x) -157 + -38x = (2 * 3 + 7x * 3) -157 + -38x = (6 + 21x) Solving -157 + -38x = 6 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -157 + -38x + -21x = 6 + 21x + -21x Combine like terms: -38x + -21x = -59x -157 + -59x = 6 + 21x + -21x Combine like terms: 21x + -21x = 0 -157 + -59x = 6 + 0 -157 + -59x = 6 Add '157' to each side of the equation. -157 + 157 + -59x = 6 + 157 Combine like terms: -157 + 157 = 0 0 + -59x = 6 + 157 -59x = 6 + 157 Combine like terms: 6 + 157 = 163 -59x = 163 Divide each side by '-59'. x = -2.762711864 Simplifying x = -2.762711864
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