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Simplifying -3x + 4 + x + 2 = -3(x + 4) + 17 Reorder the terms: 4 + 2 + -3x + x = -3(x + 4) + 17 Combine like terms: 4 + 2 = 6 6 + -3x + x = -3(x + 4) + 17 Combine like terms: -3x + x = -2x 6 + -2x = -3(x + 4) + 17 Reorder the terms: 6 + -2x = -3(4 + x) + 17 6 + -2x = (4 * -3 + x * -3) + 17 6 + -2x = (-12 + -3x) + 17 Reorder the terms: 6 + -2x = -12 + 17 + -3x Combine like terms: -12 + 17 = 5 6 + -2x = 5 + -3x Solving 6 + -2x = 5 + -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 + -2x + 3x = 5 + -3x + 3x Combine like terms: -2x + 3x = 1x 6 + 1x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 1x = 5 + 0 6 + 1x = 5 Add '-6' to each side of the equation. 6 + -6 + 1x = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 5 + -6 1x = 5 + -6 Combine like terms: 5 + -6 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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