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Simplifying 3(4x + -11) + 5(7 + -2x) = 16 + -3(3x + -10) Reorder the terms: 3(-11 + 4x) + 5(7 + -2x) = 16 + -3(3x + -10) (-11 * 3 + 4x * 3) + 5(7 + -2x) = 16 + -3(3x + -10) (-33 + 12x) + 5(7 + -2x) = 16 + -3(3x + -10) -33 + 12x + (7 * 5 + -2x * 5) = 16 + -3(3x + -10) -33 + 12x + (35 + -10x) = 16 + -3(3x + -10) Reorder the terms: -33 + 35 + 12x + -10x = 16 + -3(3x + -10) Combine like terms: -33 + 35 = 2 2 + 12x + -10x = 16 + -3(3x + -10) Combine like terms: 12x + -10x = 2x 2 + 2x = 16 + -3(3x + -10) Reorder the terms: 2 + 2x = 16 + -3(-10 + 3x) 2 + 2x = 16 + (-10 * -3 + 3x * -3) 2 + 2x = 16 + (30 + -9x) Combine like terms: 16 + 30 = 46 2 + 2x = 46 + -9x Solving 2 + 2x = 46 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 2 + 2x + 9x = 46 + -9x + 9x Combine like terms: 2x + 9x = 11x 2 + 11x = 46 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + 11x = 46 + 0 2 + 11x = 46 Add '-2' to each side of the equation. 2 + -2 + 11x = 46 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 46 + -2 11x = 46 + -2 Combine like terms: 46 + -2 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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