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Simplifying 5(2x + -1) + -3 = 4(1 + -3x) Reorder the terms: 5(-1 + 2x) + -3 = 4(1 + -3x) (-1 * 5 + 2x * 5) + -3 = 4(1 + -3x) (-5 + 10x) + -3 = 4(1 + -3x) Reorder the terms: -5 + -3 + 10x = 4(1 + -3x) Combine like terms: -5 + -3 = -8 -8 + 10x = 4(1 + -3x) -8 + 10x = (1 * 4 + -3x * 4) -8 + 10x = (4 + -12x) Solving -8 + 10x = 4 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -8 + 10x + 12x = 4 + -12x + 12x Combine like terms: 10x + 12x = 22x -8 + 22x = 4 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + 22x = 4 + 0 -8 + 22x = 4 Add '8' to each side of the equation. -8 + 8 + 22x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 22x = 4 + 8 22x = 4 + 8 Combine like terms: 4 + 8 = 12 22x = 12 Divide each side by '22'. x = 0.5454545455 Simplifying x = 0.5454545455
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