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Simplifying 6(3x + -7) + 2 = 2x + -2 Reorder the terms: 6(-7 + 3x) + 2 = 2x + -2 (-7 * 6 + 3x * 6) + 2 = 2x + -2 (-42 + 18x) + 2 = 2x + -2 Reorder the terms: -42 + 2 + 18x = 2x + -2 Combine like terms: -42 + 2 = -40 -40 + 18x = 2x + -2 Reorder the terms: -40 + 18x = -2 + 2x Solving -40 + 18x = -2 + 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. -40 + 18x + -2x = -2 + 2x + -2x Combine like terms: 18x + -2x = 16x -40 + 16x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 16x = -2 + 0 -40 + 16x = -2 Add '40' to each side of the equation. -40 + 40 + 16x = -2 + 40 Combine like terms: -40 + 40 = 0 0 + 16x = -2 + 40 16x = -2 + 40 Combine like terms: -2 + 40 = 38 16x = 38 Divide each side by '16'. x = 2.375 Simplifying x = 2.375
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