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Simplifying 6(x + -3) + 2x = (2x + 1) + -22 Reorder the terms: 6(-3 + x) + 2x = (2x + 1) + -22 (-3 * 6 + x * 6) + 2x = (2x + 1) + -22 (-18 + 6x) + 2x = (2x + 1) + -22 Combine like terms: 6x + 2x = 8x -18 + 8x = (2x + 1) + -22 Reorder the terms: -18 + 8x = (1 + 2x) + -22 Remove parenthesis around (1 + 2x) -18 + 8x = 1 + 2x + -22 Reorder the terms: -18 + 8x = 1 + -22 + 2x Combine like terms: 1 + -22 = -21 -18 + 8x = -21 + 2x Solving -18 + 8x = -21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 8x + -2x = -21 + 2x + -2x Combine like terms: 8x + -2x = 6x -18 + 6x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 6x = -21 + 0 -18 + 6x = -21 Add '18' to each side of the equation. -18 + 18 + 6x = -21 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = -21 + 18 6x = -21 + 18 Combine like terms: -21 + 18 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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