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Simplifying 6(x + -3) + -5x = 10 + -3x Reorder the terms: 6(-3 + x) + -5x = 10 + -3x (-3 * 6 + x * 6) + -5x = 10 + -3x (-18 + 6x) + -5x = 10 + -3x Combine like terms: 6x + -5x = 1x -18 + 1x = 10 + -3x Solving -18 + 1x = 10 + -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. -18 + 1x + 3x = 10 + -3x + 3x Combine like terms: 1x + 3x = 4x -18 + 4x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -18 + 4x = 10 + 0 -18 + 4x = 10 Add '18' to each side of the equation. -18 + 18 + 4x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = 10 + 18 4x = 10 + 18 Combine like terms: 10 + 18 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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