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Simplifying -7(3x + -4) + -1(2x + -3) = 15x + -1(-4x + 20) Reorder the terms: -7(-4 + 3x) + -1(2x + -3) = 15x + -1(-4x + 20) (-4 * -7 + 3x * -7) + -1(2x + -3) = 15x + -1(-4x + 20) (28 + -21x) + -1(2x + -3) = 15x + -1(-4x + 20) Reorder the terms: 28 + -21x + -1(-3 + 2x) = 15x + -1(-4x + 20) 28 + -21x + (-3 * -1 + 2x * -1) = 15x + -1(-4x + 20) 28 + -21x + (3 + -2x) = 15x + -1(-4x + 20) Reorder the terms: 28 + 3 + -21x + -2x = 15x + -1(-4x + 20) Combine like terms: 28 + 3 = 31 31 + -21x + -2x = 15x + -1(-4x + 20) Combine like terms: -21x + -2x = -23x 31 + -23x = 15x + -1(-4x + 20) Reorder the terms: 31 + -23x = 15x + -1(20 + -4x) 31 + -23x = 15x + (20 * -1 + -4x * -1) 31 + -23x = 15x + (-20 + 4x) Reorder the terms: 31 + -23x = -20 + 15x + 4x Combine like terms: 15x + 4x = 19x 31 + -23x = -20 + 19x Solving 31 + -23x = -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. 31 + -23x + -19x = -20 + 19x + -19x Combine like terms: -23x + -19x = -42x 31 + -42x = -20 + 19x + -19x Combine like terms: 19x + -19x = 0 31 + -42x = -20 + 0 31 + -42x = -20 Add '-31' to each side of the equation. 31 + -31 + -42x = -20 + -31 Combine like terms: 31 + -31 = 0 0 + -42x = -20 + -31 -42x = -20 + -31 Combine like terms: -20 + -31 = -51 -42x = -51 Divide each side by '-42'. x = 1.214285714 Simplifying x = 1.214285714
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