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Simplifying 6(x + -3) + -5(x + 3) = 5 + -1x Reorder the terms: 6(-3 + x) + -5(x + 3) = 5 + -1x (-3 * 6 + x * 6) + -5(x + 3) = 5 + -1x (-18 + 6x) + -5(x + 3) = 5 + -1x Reorder the terms: -18 + 6x + -5(3 + x) = 5 + -1x -18 + 6x + (3 * -5 + x * -5) = 5 + -1x -18 + 6x + (-15 + -5x) = 5 + -1x Reorder the terms: -18 + -15 + 6x + -5x = 5 + -1x Combine like terms: -18 + -15 = -33 -33 + 6x + -5x = 5 + -1x Combine like terms: 6x + -5x = 1x -33 + 1x = 5 + -1x Solving -33 + 1x = 5 + -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. -33 + 1x + x = 5 + -1x + x Combine like terms: 1x + x = 2x -33 + 2x = 5 + -1x + x Combine like terms: -1x + x = 0 -33 + 2x = 5 + 0 -33 + 2x = 5 Add '33' to each side of the equation. -33 + 33 + 2x = 5 + 33 Combine like terms: -33 + 33 = 0 0 + 2x = 5 + 33 2x = 5 + 33 Combine like terms: 5 + 33 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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