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Simplifying 10(3x + -5) + -3 = 3(2 + -1x) + 2 Reorder the terms: 10(-5 + 3x) + -3 = 3(2 + -1x) + 2 (-5 * 10 + 3x * 10) + -3 = 3(2 + -1x) + 2 (-50 + 30x) + -3 = 3(2 + -1x) + 2 Reorder the terms: -50 + -3 + 30x = 3(2 + -1x) + 2 Combine like terms: -50 + -3 = -53 -53 + 30x = 3(2 + -1x) + 2 -53 + 30x = (2 * 3 + -1x * 3) + 2 -53 + 30x = (6 + -3x) + 2 Reorder the terms: -53 + 30x = 6 + 2 + -3x Combine like terms: 6 + 2 = 8 -53 + 30x = 8 + -3x Solving -53 + 30x = 8 + -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. -53 + 30x + 3x = 8 + -3x + 3x Combine like terms: 30x + 3x = 33x -53 + 33x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -53 + 33x = 8 + 0 -53 + 33x = 8 Add '53' to each side of the equation. -53 + 53 + 33x = 8 + 53 Combine like terms: -53 + 53 = 0 0 + 33x = 8 + 53 33x = 8 + 53 Combine like terms: 8 + 53 = 61 33x = 61 Divide each side by '33'. x = 1.848484848 Simplifying x = 1.848484848
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