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Simplifying 5(6x + 1) + 2 = 4(3x + -2) + -25 Reorder the terms: 5(1 + 6x) + 2 = 4(3x + -2) + -25 (1 * 5 + 6x * 5) + 2 = 4(3x + -2) + -25 (5 + 30x) + 2 = 4(3x + -2) + -25 Reorder the terms: 5 + 2 + 30x = 4(3x + -2) + -25 Combine like terms: 5 + 2 = 7 7 + 30x = 4(3x + -2) + -25 Reorder the terms: 7 + 30x = 4(-2 + 3x) + -25 7 + 30x = (-2 * 4 + 3x * 4) + -25 7 + 30x = (-8 + 12x) + -25 Reorder the terms: 7 + 30x = -8 + -25 + 12x Combine like terms: -8 + -25 = -33 7 + 30x = -33 + 12x Solving 7 + 30x = -33 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 30x + -12x = -33 + 12x + -12x Combine like terms: 30x + -12x = 18x 7 + 18x = -33 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + 18x = -33 + 0 7 + 18x = -33 Add '-7' to each side of the equation. 7 + -7 + 18x = -33 + -7 Combine like terms: 7 + -7 = 0 0 + 18x = -33 + -7 18x = -33 + -7 Combine like terms: -33 + -7 = -40 18x = -40 Divide each side by '18'. x = -2.222222222 Simplifying x = -2.222222222
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