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