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Simplifying 3x + -1(1x + 5) = 4(2x + -3) Reorder the terms: 3x + -1(5 + 1x) = 4(2x + -3) 3x + (5 * -1 + 1x * -1) = 4(2x + -3) 3x + (-5 + -1x) = 4(2x + -3) Reorder the terms: -5 + 3x + -1x = 4(2x + -3) Combine like terms: 3x + -1x = 2x -5 + 2x = 4(2x + -3) Reorder the terms: -5 + 2x = 4(-3 + 2x) -5 + 2x = (-3 * 4 + 2x * 4) -5 + 2x = (-12 + 8x) Solving -5 + 2x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 2x + -8x = -12 + 8x + -8x Combine like terms: 2x + -8x = -6x -5 + -6x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -6x = -12 + 0 -5 + -6x = -12 Add '5' to each side of the equation. -5 + 5 + -6x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -12 + 5 -6x = -12 + 5 Combine like terms: -12 + 5 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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