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Simplifying 4(1 + -7x) + 5(3 + 5x) = 4x + -5 + -5x (1 * 4 + -7x * 4) + 5(3 + 5x) = 4x + -5 + -5x (4 + -28x) + 5(3 + 5x) = 4x + -5 + -5x 4 + -28x + (3 * 5 + 5x * 5) = 4x + -5 + -5x 4 + -28x + (15 + 25x) = 4x + -5 + -5x Reorder the terms: 4 + 15 + -28x + 25x = 4x + -5 + -5x Combine like terms: 4 + 15 = 19 19 + -28x + 25x = 4x + -5 + -5x Combine like terms: -28x + 25x = -3x 19 + -3x = 4x + -5 + -5x Reorder the terms: 19 + -3x = -5 + 4x + -5x Combine like terms: 4x + -5x = -1x 19 + -3x = -5 + -1x Solving 19 + -3x = -5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 19 + -3x + x = -5 + -1x + x Combine like terms: -3x + x = -2x 19 + -2x = -5 + -1x + x Combine like terms: -1x + x = 0 19 + -2x = -5 + 0 19 + -2x = -5 Add '-19' to each side of the equation. 19 + -19 + -2x = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = -5 + -19 -2x = -5 + -19 Combine like terms: -5 + -19 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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