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Simplifying 7(4x + -1) + -4(3x + -8) = 5(3x + 5) + -23 Reorder the terms: 7(-1 + 4x) + -4(3x + -8) = 5(3x + 5) + -23 (-1 * 7 + 4x * 7) + -4(3x + -8) = 5(3x + 5) + -23 (-7 + 28x) + -4(3x + -8) = 5(3x + 5) + -23 Reorder the terms: -7 + 28x + -4(-8 + 3x) = 5(3x + 5) + -23 -7 + 28x + (-8 * -4 + 3x * -4) = 5(3x + 5) + -23 -7 + 28x + (32 + -12x) = 5(3x + 5) + -23 Reorder the terms: -7 + 32 + 28x + -12x = 5(3x + 5) + -23 Combine like terms: -7 + 32 = 25 25 + 28x + -12x = 5(3x + 5) + -23 Combine like terms: 28x + -12x = 16x 25 + 16x = 5(3x + 5) + -23 Reorder the terms: 25 + 16x = 5(5 + 3x) + -23 25 + 16x = (5 * 5 + 3x * 5) + -23 25 + 16x = (25 + 15x) + -23 Reorder the terms: 25 + 16x = 25 + -23 + 15x Combine like terms: 25 + -23 = 2 25 + 16x = 2 + 15x Solving 25 + 16x = 2 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 25 + 16x + -15x = 2 + 15x + -15x Combine like terms: 16x + -15x = 1x 25 + 1x = 2 + 15x + -15x Combine like terms: 15x + -15x = 0 25 + 1x = 2 + 0 25 + 1x = 2 Add '-25' to each side of the equation. 25 + -25 + 1x = 2 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 2 + -25 1x = 2 + -25 Combine like terms: 2 + -25 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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