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Simplifying 1 + 6(x + -5) = 3 + -3(x + -3) Reorder the terms: 1 + 6(-5 + x) = 3 + -3(x + -3) 1 + (-5 * 6 + x * 6) = 3 + -3(x + -3) 1 + (-30 + 6x) = 3 + -3(x + -3) Combine like terms: 1 + -30 = -29 -29 + 6x = 3 + -3(x + -3) Reorder the terms: -29 + 6x = 3 + -3(-3 + x) -29 + 6x = 3 + (-3 * -3 + x * -3) -29 + 6x = 3 + (9 + -3x) Combine like terms: 3 + 9 = 12 -29 + 6x = 12 + -3x Solving -29 + 6x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -29 + 6x + 3x = 12 + -3x + 3x Combine like terms: 6x + 3x = 9x -29 + 9x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -29 + 9x = 12 + 0 -29 + 9x = 12 Add '29' to each side of the equation. -29 + 29 + 9x = 12 + 29 Combine like terms: -29 + 29 = 0 0 + 9x = 12 + 29 9x = 12 + 29 Combine like terms: 12 + 29 = 41 9x = 41 Divide each side by '9'. x = 4.555555556 Simplifying x = 4.555555556
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