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Simplifying 5(2x + 1) + -4x = x + -1(4 + 4x) Reorder the terms: 5(1 + 2x) + -4x = x + -1(4 + 4x) (1 * 5 + 2x * 5) + -4x = x + -1(4 + 4x) (5 + 10x) + -4x = x + -1(4 + 4x) Combine like terms: 10x + -4x = 6x 5 + 6x = x + -1(4 + 4x) 5 + 6x = x + (4 * -1 + 4x * -1) 5 + 6x = x + (-4 + -4x) Reorder the terms: 5 + 6x = -4 + x + -4x Combine like terms: x + -4x = -3x 5 + 6x = -4 + -3x Solving 5 + 6x = -4 + -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 + 6x + 3x = -4 + -3x + 3x Combine like terms: 6x + 3x = 9x 5 + 9x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 9x = -4 + 0 5 + 9x = -4 Add '-5' to each side of the equation. 5 + -5 + 9x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = -4 + -5 9x = -4 + -5 Combine like terms: -4 + -5 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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