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Simplifying 6x + 3(-7 + 3x) = 1 + -1x 6x + (-7 * 3 + 3x * 3) = 1 + -1x 6x + (-21 + 9x) = 1 + -1x Reorder the terms: -21 + 6x + 9x = 1 + -1x Combine like terms: 6x + 9x = 15x -21 + 15x = 1 + -1x Solving -21 + 15x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -21 + 15x + x = 1 + -1x + x Combine like terms: 15x + x = 16x -21 + 16x = 1 + -1x + x Combine like terms: -1x + x = 0 -21 + 16x = 1 + 0 -21 + 16x = 1 Add '21' to each side of the equation. -21 + 21 + 16x = 1 + 21 Combine like terms: -21 + 21 = 0 0 + 16x = 1 + 21 16x = 1 + 21 Combine like terms: 1 + 21 = 22 16x = 22 Divide each side by '16'. x = 1.375 Simplifying x = 1.375
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