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Simplifying 3[-7 + 3x] + -5 = 5[15x + -10] + -26 [-7 * 3 + 3x * 3] + -5 = 5[15x + -10] + -26 [-21 + 9x] + -5 = 5[15x + -10] + -26 Reorder the terms: -21 + -5 + 9x = 5[15x + -10] + -26 Combine like terms: -21 + -5 = -26 -26 + 9x = 5[15x + -10] + -26 Reorder the terms: -26 + 9x = 5[-10 + 15x] + -26 -26 + 9x = [-10 * 5 + 15x * 5] + -26 -26 + 9x = [-50 + 75x] + -26 Reorder the terms: -26 + 9x = -50 + -26 + 75x Combine like terms: -50 + -26 = -76 -26 + 9x = -76 + 75x Solving -26 + 9x = -76 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. -26 + 9x + -75x = -76 + 75x + -75x Combine like terms: 9x + -75x = -66x -26 + -66x = -76 + 75x + -75x Combine like terms: 75x + -75x = 0 -26 + -66x = -76 + 0 -26 + -66x = -76 Add '26' to each side of the equation. -26 + 26 + -66x = -76 + 26 Combine like terms: -26 + 26 = 0 0 + -66x = -76 + 26 -66x = -76 + 26 Combine like terms: -76 + 26 = -50 -66x = -50 Divide each side by '-66'. x = 0.7575757576 Simplifying x = 0.7575757576
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