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Simplifying 30x + -60 + (x + -3) + (x + -2) = 42x + -84 Reorder the terms: 30x + -60 + (-3 + x) + (x + -2) = 42x + -84 Remove parenthesis around (-3 + x) 30x + -60 + -3 + x + (x + -2) = 42x + -84 Reorder the terms: 30x + -60 + -3 + x + (-2 + x) = 42x + -84 Remove parenthesis around (-2 + x) 30x + -60 + -3 + x + -2 + x = 42x + -84 Reorder the terms: -60 + -3 + -2 + 30x + x + x = 42x + -84 Combine like terms: -60 + -3 = -63 -63 + -2 + 30x + x + x = 42x + -84 Combine like terms: -63 + -2 = -65 -65 + 30x + x + x = 42x + -84 Combine like terms: 30x + x = 31x -65 + 31x + x = 42x + -84 Combine like terms: 31x + x = 32x -65 + 32x = 42x + -84 Reorder the terms: -65 + 32x = -84 + 42x Solving -65 + 32x = -84 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -65 + 32x + -42x = -84 + 42x + -42x Combine like terms: 32x + -42x = -10x -65 + -10x = -84 + 42x + -42x Combine like terms: 42x + -42x = 0 -65 + -10x = -84 + 0 -65 + -10x = -84 Add '65' to each side of the equation. -65 + 65 + -10x = -84 + 65 Combine like terms: -65 + 65 = 0 0 + -10x = -84 + 65 -10x = -84 + 65 Combine like terms: -84 + 65 = -19 -10x = -19 Divide each side by '-10'. x = 1.9 Simplifying x = 1.9
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