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Simplifying (x + 10) + -1(3x + 12) = 7x + 12(11.4) Reorder the terms: (10 + x) + -1(3x + 12) = 7x + 12(11.4) Remove parenthesis around (10 + x) 10 + x + -1(3x + 12) = 7x + 12(11.4) Reorder the terms: 10 + x + -1(12 + 3x) = 7x + 12(11.4) 10 + x + (12 * -1 + 3x * -1) = 7x + 12(11.4) 10 + x + (-12 + -3x) = 7x + 12(11.4) Reorder the terms: 10 + -12 + x + -3x = 7x + 12(11.4) Combine like terms: 10 + -12 = -2 -2 + x + -3x = 7x + 12(11.4) Combine like terms: x + -3x = -2x -2 + -2x = 7x + 12(11.4) Multiply 12 * 11.4 -2 + -2x = 7x + 136.8 Reorder the terms: -2 + -2x = 136.8 + 7x Solving -2 + -2x = 136.8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + -2x + -7x = 136.8 + 7x + -7x Combine like terms: -2x + -7x = -9x -2 + -9x = 136.8 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -9x = 136.8 + 0 -2 + -9x = 136.8 Add '2' to each side of the equation. -2 + 2 + -9x = 136.8 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 136.8 + 2 -9x = 136.8 + 2 Combine like terms: 136.8 + 2 = 138.8 -9x = 138.8 Divide each side by '-9'. x = -15.42222222 Simplifying x = -15.42222222
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