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Simplifying 3(-6x + -8) + 5(-3x + -6) = x + -7x Reorder the terms: 3(-8 + -6x) + 5(-3x + -6) = x + -7x (-8 * 3 + -6x * 3) + 5(-3x + -6) = x + -7x (-24 + -18x) + 5(-3x + -6) = x + -7x Reorder the terms: -24 + -18x + 5(-6 + -3x) = x + -7x -24 + -18x + (-6 * 5 + -3x * 5) = x + -7x -24 + -18x + (-30 + -15x) = x + -7x Reorder the terms: -24 + -30 + -18x + -15x = x + -7x Combine like terms: -24 + -30 = -54 -54 + -18x + -15x = x + -7x Combine like terms: -18x + -15x = -33x -54 + -33x = x + -7x Combine like terms: x + -7x = -6x -54 + -33x = -6x Solving -54 + -33x = -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. -54 + -33x + 6x = -6x + 6x Combine like terms: -33x + 6x = -27x -54 + -27x = -6x + 6x Combine like terms: -6x + 6x = 0 -54 + -27x = 0 Add '54' to each side of the equation. -54 + 54 + -27x = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -27x = 0 + 54 -27x = 0 + 54 Combine like terms: 0 + 54 = 54 -27x = 54 Divide each side by '-27'. x = -2 Simplifying x = -2
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