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Simplifying 18(x + -34) + 4(-18 + -6x) = 39x + -13 + 1 + -33x Reorder the terms: 18(-34 + x) + 4(-18 + -6x) = 39x + -13 + 1 + -33x (-34 * 18 + x * 18) + 4(-18 + -6x) = 39x + -13 + 1 + -33x (-612 + 18x) + 4(-18 + -6x) = 39x + -13 + 1 + -33x -612 + 18x + (-18 * 4 + -6x * 4) = 39x + -13 + 1 + -33x -612 + 18x + (-72 + -24x) = 39x + -13 + 1 + -33x Reorder the terms: -612 + -72 + 18x + -24x = 39x + -13 + 1 + -33x Combine like terms: -612 + -72 = -684 -684 + 18x + -24x = 39x + -13 + 1 + -33x Combine like terms: 18x + -24x = -6x -684 + -6x = 39x + -13 + 1 + -33x Reorder the terms: -684 + -6x = -13 + 1 + 39x + -33x Combine like terms: -13 + 1 = -12 -684 + -6x = -12 + 39x + -33x Combine like terms: 39x + -33x = 6x -684 + -6x = -12 + 6x Solving -684 + -6x = -12 + 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. -684 + -6x + -6x = -12 + 6x + -6x Combine like terms: -6x + -6x = -12x -684 + -12x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -684 + -12x = -12 + 0 -684 + -12x = -12 Add '684' to each side of the equation. -684 + 684 + -12x = -12 + 684 Combine like terms: -684 + 684 = 0 0 + -12x = -12 + 684 -12x = -12 + 684 Combine like terms: -12 + 684 = 672 -12x = 672 Divide each side by '-12'. x = -56 Simplifying x = -56
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