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Simplifying 5 + -1(-3x + 4) = 2x + 6 Reorder the terms: 5 + -1(4 + -3x) = 2x + 6 5 + (4 * -1 + -3x * -1) = 2x + 6 5 + (-4 + 3x) = 2x + 6 Combine like terms: 5 + -4 = 1 1 + 3x = 2x + 6 Reorder the terms: 1 + 3x = 6 + 2x Solving 1 + 3x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 3x + -2x = 6 + 2x + -2x Combine like terms: 3x + -2x = 1x 1 + 1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 1x = 6 + 0 1 + 1x = 6 Add '-1' to each side of the equation. 1 + -1 + 1x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 6 + -1 1x = 6 + -1 Combine like terms: 6 + -1 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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