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Simplifying 4x + 2 + -1(3x + 8) = 3(x + 9) + -7 Reorder the terms: 4x + 2 + -1(8 + 3x) = 3(x + 9) + -7 4x + 2 + (8 * -1 + 3x * -1) = 3(x + 9) + -7 4x + 2 + (-8 + -3x) = 3(x + 9) + -7 Reorder the terms: 2 + -8 + 4x + -3x = 3(x + 9) + -7 Combine like terms: 2 + -8 = -6 -6 + 4x + -3x = 3(x + 9) + -7 Combine like terms: 4x + -3x = 1x -6 + 1x = 3(x + 9) + -7 Reorder the terms: -6 + 1x = 3(9 + x) + -7 -6 + 1x = (9 * 3 + x * 3) + -7 -6 + 1x = (27 + 3x) + -7 Reorder the terms: -6 + 1x = 27 + -7 + 3x Combine like terms: 27 + -7 = 20 -6 + 1x = 20 + 3x Solving -6 + 1x = 20 + 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. -6 + 1x + -3x = 20 + 3x + -3x Combine like terms: 1x + -3x = -2x -6 + -2x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -2x = 20 + 0 -6 + -2x = 20 Add '6' to each side of the equation. -6 + 6 + -2x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 20 + 6 -2x = 20 + 6 Combine like terms: 20 + 6 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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