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Simplifying 4x + 5 = 2(3x + -1) + -3x Reorder the terms: 5 + 4x = 2(3x + -1) + -3x Reorder the terms: 5 + 4x = 2(-1 + 3x) + -3x 5 + 4x = (-1 * 2 + 3x * 2) + -3x 5 + 4x = (-2 + 6x) + -3x Combine like terms: 6x + -3x = 3x 5 + 4x = -2 + 3x Solving 5 + 4x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 4x + -3x = -2 + 3x + -3x Combine like terms: 4x + -3x = 1x 5 + 1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 1x = -2 + 0 5 + 1x = -2 Add '-5' to each side of the equation. 5 + -5 + 1x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -2 + -5 1x = -2 + -5 Combine like terms: -2 + -5 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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