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Simplifying 3x + -8(3x + -4) = 6 + -6(x + -8) Reorder the terms: 3x + -8(-4 + 3x) = 6 + -6(x + -8) 3x + (-4 * -8 + 3x * -8) = 6 + -6(x + -8) 3x + (32 + -24x) = 6 + -6(x + -8) Reorder the terms: 32 + 3x + -24x = 6 + -6(x + -8) Combine like terms: 3x + -24x = -21x 32 + -21x = 6 + -6(x + -8) Reorder the terms: 32 + -21x = 6 + -6(-8 + x) 32 + -21x = 6 + (-8 * -6 + x * -6) 32 + -21x = 6 + (48 + -6x) Combine like terms: 6 + 48 = 54 32 + -21x = 54 + -6x Solving 32 + -21x = 54 + -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. 32 + -21x + 6x = 54 + -6x + 6x Combine like terms: -21x + 6x = -15x 32 + -15x = 54 + -6x + 6x Combine like terms: -6x + 6x = 0 32 + -15x = 54 + 0 32 + -15x = 54 Add '-32' to each side of the equation. 32 + -32 + -15x = 54 + -32 Combine like terms: 32 + -32 = 0 0 + -15x = 54 + -32 -15x = 54 + -32 Combine like terms: 54 + -32 = 22 -15x = 22 Divide each side by '-15'. x = -1.466666667 Simplifying x = -1.466666667
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