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Simplifying 4(2x + 1) + -6 = 10 + -1(x + 3) Reorder the terms: 4(1 + 2x) + -6 = 10 + -1(x + 3) (1 * 4 + 2x * 4) + -6 = 10 + -1(x + 3) (4 + 8x) + -6 = 10 + -1(x + 3) Reorder the terms: 4 + -6 + 8x = 10 + -1(x + 3) Combine like terms: 4 + -6 = -2 -2 + 8x = 10 + -1(x + 3) Reorder the terms: -2 + 8x = 10 + -1(3 + x) -2 + 8x = 10 + (3 * -1 + x * -1) -2 + 8x = 10 + (-3 + -1x) Combine like terms: 10 + -3 = 7 -2 + 8x = 7 + -1x Solving -2 + 8x = 7 + -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. -2 + 8x + x = 7 + -1x + x Combine like terms: 8x + x = 9x -2 + 9x = 7 + -1x + x Combine like terms: -1x + x = 0 -2 + 9x = 7 + 0 -2 + 9x = 7 Add '2' to each side of the equation. -2 + 2 + 9x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 7 + 2 9x = 7 + 2 Combine like terms: 7 + 2 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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