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Simplifying 6x + -3 = 18 + -1(2x + 2) Reorder the terms: -3 + 6x = 18 + -1(2x + 2) Reorder the terms: -3 + 6x = 18 + -1(2 + 2x) -3 + 6x = 18 + (2 * -1 + 2x * -1) -3 + 6x = 18 + (-2 + -2x) Combine like terms: 18 + -2 = 16 -3 + 6x = 16 + -2x Solving -3 + 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. -3 + 6x + 2x = 16 + -2x + 2x Combine like terms: 6x + 2x = 8x -3 + 8x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 8x = 16 + 0 -3 + 8x = 16 Add '3' to each side of the equation. -3 + 3 + 8x = 16 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 16 + 3 8x = 16 + 3 Combine like terms: 16 + 3 = 19 8x = 19 Divide each side by '8'. x = 2.375 Simplifying x = 2.375
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