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Simplifying 3x + 4(2x + -7) = 16 + -3(x + -5) Reorder the terms: 3x + 4(-7 + 2x) = 16 + -3(x + -5) 3x + (-7 * 4 + 2x * 4) = 16 + -3(x + -5) 3x + (-28 + 8x) = 16 + -3(x + -5) Reorder the terms: -28 + 3x + 8x = 16 + -3(x + -5) Combine like terms: 3x + 8x = 11x -28 + 11x = 16 + -3(x + -5) Reorder the terms: -28 + 11x = 16 + -3(-5 + x) -28 + 11x = 16 + (-5 * -3 + x * -3) -28 + 11x = 16 + (15 + -3x) Combine like terms: 16 + 15 = 31 -28 + 11x = 31 + -3x Solving -28 + 11x = 31 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -28 + 11x + 3x = 31 + -3x + 3x Combine like terms: 11x + 3x = 14x -28 + 14x = 31 + -3x + 3x Combine like terms: -3x + 3x = 0 -28 + 14x = 31 + 0 -28 + 14x = 31 Add '28' to each side of the equation. -28 + 28 + 14x = 31 + 28 Combine like terms: -28 + 28 = 0 0 + 14x = 31 + 28 14x = 31 + 28 Combine like terms: 31 + 28 = 59 14x = 59 Divide each side by '14'. x = 4.214285714 Simplifying x = 4.214285714
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