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Simplifying 3(2x + -1) + -7 = 6 + -2(x + 1) Reorder the terms: 3(-1 + 2x) + -7 = 6 + -2(x + 1) (-1 * 3 + 2x * 3) + -7 = 6 + -2(x + 1) (-3 + 6x) + -7 = 6 + -2(x + 1) Reorder the terms: -3 + -7 + 6x = 6 + -2(x + 1) Combine like terms: -3 + -7 = -10 -10 + 6x = 6 + -2(x + 1) Reorder the terms: -10 + 6x = 6 + -2(1 + x) -10 + 6x = 6 + (1 * -2 + x * -2) -10 + 6x = 6 + (-2 + -2x) Combine like terms: 6 + -2 = 4 -10 + 6x = 4 + -2x Solving -10 + 6x = 4 + -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. -10 + 6x + 2x = 4 + -2x + 2x Combine like terms: 6x + 2x = 8x -10 + 8x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 8x = 4 + 0 -10 + 8x = 4 Add '10' to each side of the equation. -10 + 10 + 8x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 4 + 10 8x = 4 + 10 Combine like terms: 4 + 10 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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