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Simplifying 3x(2 + 5) + -3(3x + -5) + -5 = 4(x + 5) + -3x(-5) Combine like terms: 2 + 5 = 7 3x(7) + -3(3x + -5) + -5 = 4(x + 5) + -3x(-5) Reorder the terms for easier multiplication: 3 * 7x + -3(3x + -5) + -5 = 4(x + 5) + -3x(-5) Multiply 3 * 7 21x + -3(3x + -5) + -5 = 4(x + 5) + -3x(-5) Reorder the terms: 21x + -3(-5 + 3x) + -5 = 4(x + 5) + -3x(-5) 21x + (-5 * -3 + 3x * -3) + -5 = 4(x + 5) + -3x(-5) 21x + (15 + -9x) + -5 = 4(x + 5) + -3x(-5) Reorder the terms: 15 + -5 + 21x + -9x = 4(x + 5) + -3x(-5) Combine like terms: 15 + -5 = 10 10 + 21x + -9x = 4(x + 5) + -3x(-5) Combine like terms: 21x + -9x = 12x 10 + 12x = 4(x + 5) + -3x(-5) Reorder the terms: 10 + 12x = 4(5 + x) + -3x(-5) 10 + 12x = (5 * 4 + x * 4) + -3x(-5) 10 + 12x = (20 + 4x) + -3x(-5) Reorder the terms for easier multiplication: 10 + 12x = 20 + 4x + -3 * -5x Multiply -3 * -5 10 + 12x = 20 + 4x + 15x Combine like terms: 4x + 15x = 19x 10 + 12x = 20 + 19x Solving 10 + 12x = 20 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 10 + 12x + -19x = 20 + 19x + -19x Combine like terms: 12x + -19x = -7x 10 + -7x = 20 + 19x + -19x Combine like terms: 19x + -19x = 0 10 + -7x = 20 + 0 10 + -7x = 20 Add '-10' to each side of the equation. 10 + -10 + -7x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 20 + -10 -7x = 20 + -10 Combine like terms: 20 + -10 = 10 -7x = 10 Divide each side by '-7'. x = -1.428571429 Simplifying x = -1.428571429
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