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Simplifying 7(4x + 2) + 5 = -5 + -8(1 + -3x) Reorder the terms: 7(2 + 4x) + 5 = -5 + -8(1 + -3x) (2 * 7 + 4x * 7) + 5 = -5 + -8(1 + -3x) (14 + 28x) + 5 = -5 + -8(1 + -3x) Reorder the terms: 14 + 5 + 28x = -5 + -8(1 + -3x) Combine like terms: 14 + 5 = 19 19 + 28x = -5 + -8(1 + -3x) 19 + 28x = -5 + (1 * -8 + -3x * -8) 19 + 28x = -5 + (-8 + 24x) Combine like terms: -5 + -8 = -13 19 + 28x = -13 + 24x Solving 19 + 28x = -13 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 19 + 28x + -24x = -13 + 24x + -24x Combine like terms: 28x + -24x = 4x 19 + 4x = -13 + 24x + -24x Combine like terms: 24x + -24x = 0 19 + 4x = -13 + 0 19 + 4x = -13 Add '-19' to each side of the equation. 19 + -19 + 4x = -13 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = -13 + -19 4x = -13 + -19 Combine like terms: -13 + -19 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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