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Simplifying 2(5x + -3) + -2x + -4 = 5 + -1(6x + 1) Reorder the terms: 2(-3 + 5x) + -2x + -4 = 5 + -1(6x + 1) (-3 * 2 + 5x * 2) + -2x + -4 = 5 + -1(6x + 1) (-6 + 10x) + -2x + -4 = 5 + -1(6x + 1) Reorder the terms: -6 + -4 + 10x + -2x = 5 + -1(6x + 1) Combine like terms: -6 + -4 = -10 -10 + 10x + -2x = 5 + -1(6x + 1) Combine like terms: 10x + -2x = 8x -10 + 8x = 5 + -1(6x + 1) Reorder the terms: -10 + 8x = 5 + -1(1 + 6x) -10 + 8x = 5 + (1 * -1 + 6x * -1) -10 + 8x = 5 + (-1 + -6x) Combine like terms: 5 + -1 = 4 -10 + 8x = 4 + -6x Solving -10 + 8x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + 8x + 6x = 4 + -6x + 6x Combine like terms: 8x + 6x = 14x -10 + 14x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 14x = 4 + 0 -10 + 14x = 4 Add '10' to each side of the equation. -10 + 10 + 14x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 14x = 4 + 10 14x = 4 + 10 Combine like terms: 4 + 10 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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