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Simplifying 6(x + -2) + 1 = 5x + -3 Reorder the terms: 6(-2 + x) + 1 = 5x + -3 (-2 * 6 + x * 6) + 1 = 5x + -3 (-12 + 6x) + 1 = 5x + -3 Reorder the terms: -12 + 1 + 6x = 5x + -3 Combine like terms: -12 + 1 = -11 -11 + 6x = 5x + -3 Reorder the terms: -11 + 6x = -3 + 5x Solving -11 + 6x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -11 + 6x + -5x = -3 + 5x + -5x Combine like terms: 6x + -5x = 1x -11 + 1x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + 1x = -3 + 0 -11 + 1x = -3 Add '11' to each side of the equation. -11 + 11 + 1x = -3 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = -3 + 11 1x = -3 + 11 Combine like terms: -3 + 11 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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