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Simplifying x + 4 + -3x + 2 = x + -47 Reorder the terms: 4 + 2 + x + -3x = x + -47 Combine like terms: 4 + 2 = 6 6 + x + -3x = x + -47 Combine like terms: x + -3x = -2x 6 + -2x = x + -47 Reorder the terms: 6 + -2x = -47 + x Solving 6 + -2x = -47 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + -2x + -1x = -47 + x + -1x Combine like terms: -2x + -1x = -3x 6 + -3x = -47 + x + -1x Combine like terms: x + -1x = 0 6 + -3x = -47 + 0 6 + -3x = -47 Add '-6' to each side of the equation. 6 + -6 + -3x = -47 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -47 + -6 -3x = -47 + -6 Combine like terms: -47 + -6 = -53 -3x = -53 Divide each side by '-3'. x = 17.66666667 Simplifying x = 17.66666667
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