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Simplifying 6x + 4 = 5x + -1(3x + 4) Reorder the terms: 4 + 6x = 5x + -1(3x + 4) Reorder the terms: 4 + 6x = 5x + -1(4 + 3x) 4 + 6x = 5x + (4 * -1 + 3x * -1) 4 + 6x = 5x + (-4 + -3x) Reorder the terms: 4 + 6x = -4 + 5x + -3x Combine like terms: 5x + -3x = 2x 4 + 6x = -4 + 2x Solving 4 + 6x = -4 + 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. 4 + 6x + -2x = -4 + 2x + -2x Combine like terms: 6x + -2x = 4x 4 + 4x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 4x = -4 + 0 4 + 4x = -4 Add '-4' to each side of the equation. 4 + -4 + 4x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = -4 + -4 4x = -4 + -4 Combine like terms: -4 + -4 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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