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Simplifying 3x + -5(6 + -2x) = 4(x + -8) + 3 3x + (6 * -5 + -2x * -5) = 4(x + -8) + 3 3x + (-30 + 10x) = 4(x + -8) + 3 Reorder the terms: -30 + 3x + 10x = 4(x + -8) + 3 Combine like terms: 3x + 10x = 13x -30 + 13x = 4(x + -8) + 3 Reorder the terms: -30 + 13x = 4(-8 + x) + 3 -30 + 13x = (-8 * 4 + x * 4) + 3 -30 + 13x = (-32 + 4x) + 3 Reorder the terms: -30 + 13x = -32 + 3 + 4x Combine like terms: -32 + 3 = -29 -30 + 13x = -29 + 4x Solving -30 + 13x = -29 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -30 + 13x + -4x = -29 + 4x + -4x Combine like terms: 13x + -4x = 9x -30 + 9x = -29 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 9x = -29 + 0 -30 + 9x = -29 Add '30' to each side of the equation. -30 + 30 + 9x = -29 + 30 Combine like terms: -30 + 30 = 0 0 + 9x = -29 + 30 9x = -29 + 30 Combine like terms: -29 + 30 = 1 9x = 1 Divide each side by '9'. x = 0.1111111111 Simplifying x = 0.1111111111
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