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Simplifying 59(x + -1) + -7 = 3x + 2(-4 + x) Reorder the terms: 59(-1 + x) + -7 = 3x + 2(-4 + x) (-1 * 59 + x * 59) + -7 = 3x + 2(-4 + x) (-59 + 59x) + -7 = 3x + 2(-4 + x) Reorder the terms: -59 + -7 + 59x = 3x + 2(-4 + x) Combine like terms: -59 + -7 = -66 -66 + 59x = 3x + 2(-4 + x) -66 + 59x = 3x + (-4 * 2 + x * 2) -66 + 59x = 3x + (-8 + 2x) Reorder the terms: -66 + 59x = -8 + 3x + 2x Combine like terms: 3x + 2x = 5x -66 + 59x = -8 + 5x Solving -66 + 59x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -66 + 59x + -5x = -8 + 5x + -5x Combine like terms: 59x + -5x = 54x -66 + 54x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -66 + 54x = -8 + 0 -66 + 54x = -8 Add '66' to each side of the equation. -66 + 66 + 54x = -8 + 66 Combine like terms: -66 + 66 = 0 0 + 54x = -8 + 66 54x = -8 + 66 Combine like terms: -8 + 66 = 58 54x = 58 Divide each side by '54'. x = 1.074074074 Simplifying x = 1.074074074
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