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Simplifying 8 + -3(5 + -2x) = 8(x + -1) + -11 8 + (5 * -3 + -2x * -3) = 8(x + -1) + -11 8 + (-15 + 6x) = 8(x + -1) + -11 Combine like terms: 8 + -15 = -7 -7 + 6x = 8(x + -1) + -11 Reorder the terms: -7 + 6x = 8(-1 + x) + -11 -7 + 6x = (-1 * 8 + x * 8) + -11 -7 + 6x = (-8 + 8x) + -11 Reorder the terms: -7 + 6x = -8 + -11 + 8x Combine like terms: -8 + -11 = -19 -7 + 6x = -19 + 8x Solving -7 + 6x = -19 + 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. -7 + 6x + -8x = -19 + 8x + -8x Combine like terms: 6x + -8x = -2x -7 + -2x = -19 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -2x = -19 + 0 -7 + -2x = -19 Add '7' to each side of the equation. -7 + 7 + -2x = -19 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -19 + 7 -2x = -19 + 7 Combine like terms: -19 + 7 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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