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Simplifying 5(x + 4) + 3 = -4(x + -8) + -10 Reorder the terms: 5(4 + x) + 3 = -4(x + -8) + -10 (4 * 5 + x * 5) + 3 = -4(x + -8) + -10 (20 + 5x) + 3 = -4(x + -8) + -10 Reorder the terms: 20 + 3 + 5x = -4(x + -8) + -10 Combine like terms: 20 + 3 = 23 23 + 5x = -4(x + -8) + -10 Reorder the terms: 23 + 5x = -4(-8 + x) + -10 23 + 5x = (-8 * -4 + x * -4) + -10 23 + 5x = (32 + -4x) + -10 Reorder the terms: 23 + 5x = 32 + -10 + -4x Combine like terms: 32 + -10 = 22 23 + 5x = 22 + -4x Solving 23 + 5x = 22 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 23 + 5x + 4x = 22 + -4x + 4x Combine like terms: 5x + 4x = 9x 23 + 9x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 23 + 9x = 22 + 0 23 + 9x = 22 Add '-23' to each side of the equation. 23 + -23 + 9x = 22 + -23 Combine like terms: 23 + -23 = 0 0 + 9x = 22 + -23 9x = 22 + -23 Combine like terms: 22 + -23 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111
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