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Simplifying 10 + 3(x + -7) = 16 + -1(x + 2) Reorder the terms: 10 + 3(-7 + x) = 16 + -1(x + 2) 10 + (-7 * 3 + x * 3) = 16 + -1(x + 2) 10 + (-21 + 3x) = 16 + -1(x + 2) Combine like terms: 10 + -21 = -11 -11 + 3x = 16 + -1(x + 2) Reorder the terms: -11 + 3x = 16 + -1(2 + x) -11 + 3x = 16 + (2 * -1 + x * -1) -11 + 3x = 16 + (-2 + -1x) Combine like terms: 16 + -2 = 14 -11 + 3x = 14 + -1x Solving -11 + 3x = 14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -11 + 3x + x = 14 + -1x + x Combine like terms: 3x + x = 4x -11 + 4x = 14 + -1x + x Combine like terms: -1x + x = 0 -11 + 4x = 14 + 0 -11 + 4x = 14 Add '11' to each side of the equation. -11 + 11 + 4x = 14 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 14 + 11 4x = 14 + 11 Combine like terms: 14 + 11 = 25 4x = 25 Divide each side by '4'. x = 6.25 Simplifying x = 6.25
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