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Simplifying 4(3 + -2) + -5 = 8x + -2(x + -3) Combine like terms: 3 + -2 = 1 4(1) + -5 = 8x + -2(x + -3) Multiply 4 * 1 4 + -5 = 8x + -2(x + -3) Combine like terms: 4 + -5 = -1 -1 = 8x + -2(x + -3) Reorder the terms: -1 = 8x + -2(-3 + x) -1 = 8x + (-3 * -2 + x * -2) -1 = 8x + (6 + -2x) Reorder the terms: -1 = 6 + 8x + -2x Combine like terms: 8x + -2x = 6x -1 = 6 + 6x Solving -1 = 6 + 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. -1 + -6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -6x = 6 + 0 -1 + -6x = 6 Add '1' to each side of the equation. -1 + 1 + -6x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 6 + 1 -6x = 6 + 1 Combine like terms: 6 + 1 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667
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