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Simplifying 6(x + -3) + 2 = 4(2x + 1) + -22 Reorder the terms: 6(-3 + x) + 2 = 4(2x + 1) + -22 (-3 * 6 + x * 6) + 2 = 4(2x + 1) + -22 (-18 + 6x) + 2 = 4(2x + 1) + -22 Reorder the terms: -18 + 2 + 6x = 4(2x + 1) + -22 Combine like terms: -18 + 2 = -16 -16 + 6x = 4(2x + 1) + -22 Reorder the terms: -16 + 6x = 4(1 + 2x) + -22 -16 + 6x = (1 * 4 + 2x * 4) + -22 -16 + 6x = (4 + 8x) + -22 Reorder the terms: -16 + 6x = 4 + -22 + 8x Combine like terms: 4 + -22 = -18 -16 + 6x = -18 + 8x Solving -16 + 6x = -18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + 6x + -8x = -18 + 8x + -8x Combine like terms: 6x + -8x = -2x -16 + -2x = -18 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + -2x = -18 + 0 -16 + -2x = -18 Add '16' to each side of the equation. -16 + 16 + -2x = -18 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = -18 + 16 -2x = -18 + 16 Combine like terms: -18 + 16 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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