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Simplifying 5(4x + 6) = (-4x + -3) + -8(3x + 2) Reorder the terms: 5(6 + 4x) = (-4x + -3) + -8(3x + 2) (6 * 5 + 4x * 5) = (-4x + -3) + -8(3x + 2) (30 + 20x) = (-4x + -3) + -8(3x + 2) Reorder the terms: 30 + 20x = (-3 + -4x) + -8(3x + 2) Remove parenthesis around (-3 + -4x) 30 + 20x = -3 + -4x + -8(3x + 2) Reorder the terms: 30 + 20x = -3 + -4x + -8(2 + 3x) 30 + 20x = -3 + -4x + (2 * -8 + 3x * -8) 30 + 20x = -3 + -4x + (-16 + -24x) Reorder the terms: 30 + 20x = -3 + -16 + -4x + -24x Combine like terms: -3 + -16 = -19 30 + 20x = -19 + -4x + -24x Combine like terms: -4x + -24x = -28x 30 + 20x = -19 + -28x Solving 30 + 20x = -19 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 30 + 20x + 28x = -19 + -28x + 28x Combine like terms: 20x + 28x = 48x 30 + 48x = -19 + -28x + 28x Combine like terms: -28x + 28x = 0 30 + 48x = -19 + 0 30 + 48x = -19 Add '-30' to each side of the equation. 30 + -30 + 48x = -19 + -30 Combine like terms: 30 + -30 = 0 0 + 48x = -19 + -30 48x = -19 + -30 Combine like terms: -19 + -30 = -49 48x = -49 Divide each side by '48'. x = -1.020833333 Simplifying x = -1.020833333
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