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Simplifying 3(-13x + -12) + -3x + -12 = -1(-18x + 14) + 12x + -18 Reorder the terms: 3(-12 + -13x) + -3x + -12 = -1(-18x + 14) + 12x + -18 (-12 * 3 + -13x * 3) + -3x + -12 = -1(-18x + 14) + 12x + -18 (-36 + -39x) + -3x + -12 = -1(-18x + 14) + 12x + -18 Reorder the terms: -36 + -12 + -39x + -3x = -1(-18x + 14) + 12x + -18 Combine like terms: -36 + -12 = -48 -48 + -39x + -3x = -1(-18x + 14) + 12x + -18 Combine like terms: -39x + -3x = -42x -48 + -42x = -1(-18x + 14) + 12x + -18 Reorder the terms: -48 + -42x = -1(14 + -18x) + 12x + -18 -48 + -42x = (14 * -1 + -18x * -1) + 12x + -18 -48 + -42x = (-14 + 18x) + 12x + -18 Reorder the terms: -48 + -42x = -14 + -18 + 18x + 12x Combine like terms: -14 + -18 = -32 -48 + -42x = -32 + 18x + 12x Combine like terms: 18x + 12x = 30x -48 + -42x = -32 + 30x Solving -48 + -42x = -32 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -48 + -42x + -30x = -32 + 30x + -30x Combine like terms: -42x + -30x = -72x -48 + -72x = -32 + 30x + -30x Combine like terms: 30x + -30x = 0 -48 + -72x = -32 + 0 -48 + -72x = -32 Add '48' to each side of the equation. -48 + 48 + -72x = -32 + 48 Combine like terms: -48 + 48 = 0 0 + -72x = -32 + 48 -72x = -32 + 48 Combine like terms: -32 + 48 = 16 -72x = 16 Divide each side by '-72'. x = -0.2222222222 Simplifying x = -0.2222222222
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