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Simplifying 4x + 1 + 3x + -5 = (x + -2) + 30 Reorder the terms: 1 + -5 + 4x + 3x = (x + -2) + 30 Combine like terms: 1 + -5 = -4 -4 + 4x + 3x = (x + -2) + 30 Combine like terms: 4x + 3x = 7x -4 + 7x = (x + -2) + 30 Reorder the terms: -4 + 7x = (-2 + x) + 30 Remove parenthesis around (-2 + x) -4 + 7x = -2 + x + 30 Reorder the terms: -4 + 7x = -2 + 30 + x Combine like terms: -2 + 30 = 28 -4 + 7x = 28 + x Solving -4 + 7x = 28 + 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. -4 + 7x + -1x = 28 + x + -1x Combine like terms: 7x + -1x = 6x -4 + 6x = 28 + x + -1x Combine like terms: x + -1x = 0 -4 + 6x = 28 + 0 -4 + 6x = 28 Add '4' to each side of the equation. -4 + 4 + 6x = 28 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 28 + 4 6x = 28 + 4 Combine like terms: 28 + 4 = 32 6x = 32 Divide each side by '6'. x = 5.333333333 Simplifying x = 5.333333333
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