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Simplifying 2(3x + -7) + -2 = 2(x + -3) + 22 Reorder the terms: 2(-7 + 3x) + -2 = 2(x + -3) + 22 (-7 * 2 + 3x * 2) + -2 = 2(x + -3) + 22 (-14 + 6x) + -2 = 2(x + -3) + 22 Reorder the terms: -14 + -2 + 6x = 2(x + -3) + 22 Combine like terms: -14 + -2 = -16 -16 + 6x = 2(x + -3) + 22 Reorder the terms: -16 + 6x = 2(-3 + x) + 22 -16 + 6x = (-3 * 2 + x * 2) + 22 -16 + 6x = (-6 + 2x) + 22 Reorder the terms: -16 + 6x = -6 + 22 + 2x Combine like terms: -6 + 22 = 16 -16 + 6x = 16 + 2x Solving -16 + 6x = 16 + 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. -16 + 6x + -2x = 16 + 2x + -2x Combine like terms: 6x + -2x = 4x -16 + 4x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 4x = 16 + 0 -16 + 4x = 16 Add '16' to each side of the equation. -16 + 16 + 4x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 16 + 16 4x = 16 + 16 Combine like terms: 16 + 16 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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