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Simplifying 3(x + -1) + -54 = 2(x + -5) Reorder the terms: 3(-1 + x) + -54 = 2(x + -5) (-1 * 3 + x * 3) + -54 = 2(x + -5) (-3 + 3x) + -54 = 2(x + -5) Reorder the terms: -3 + -54 + 3x = 2(x + -5) Combine like terms: -3 + -54 = -57 -57 + 3x = 2(x + -5) Reorder the terms: -57 + 3x = 2(-5 + x) -57 + 3x = (-5 * 2 + x * 2) -57 + 3x = (-10 + 2x) Solving -57 + 3x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -57 + 3x + -2x = -10 + 2x + -2x Combine like terms: 3x + -2x = 1x -57 + 1x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -57 + 1x = -10 + 0 -57 + 1x = -10 Add '57' to each side of the equation. -57 + 57 + 1x = -10 + 57 Combine like terms: -57 + 57 = 0 0 + 1x = -10 + 57 1x = -10 + 57 Combine like terms: -10 + 57 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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