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Simplifying 4(x + -12) + -6 = 22x + -234 Reorder the terms: 4(-12 + x) + -6 = 22x + -234 (-12 * 4 + x * 4) + -6 = 22x + -234 (-48 + 4x) + -6 = 22x + -234 Reorder the terms: -48 + -6 + 4x = 22x + -234 Combine like terms: -48 + -6 = -54 -54 + 4x = 22x + -234 Reorder the terms: -54 + 4x = -234 + 22x Solving -54 + 4x = -234 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -54 + 4x + -22x = -234 + 22x + -22x Combine like terms: 4x + -22x = -18x -54 + -18x = -234 + 22x + -22x Combine like terms: 22x + -22x = 0 -54 + -18x = -234 + 0 -54 + -18x = -234 Add '54' to each side of the equation. -54 + 54 + -18x = -234 + 54 Combine like terms: -54 + 54 = 0 0 + -18x = -234 + 54 -18x = -234 + 54 Combine like terms: -234 + 54 = -180 -18x = -180 Divide each side by '-18'. x = 10 Simplifying x = 10
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