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Simplifying 4(x + 3) + -5(2x + 1) = 13 Reorder the terms: 4(3 + x) + -5(2x + 1) = 13 (3 * 4 + x * 4) + -5(2x + 1) = 13 (12 + 4x) + -5(2x + 1) = 13 Reorder the terms: 12 + 4x + -5(1 + 2x) = 13 12 + 4x + (1 * -5 + 2x * -5) = 13 12 + 4x + (-5 + -10x) = 13 Reorder the terms: 12 + -5 + 4x + -10x = 13 Combine like terms: 12 + -5 = 7 7 + 4x + -10x = 13 Combine like terms: 4x + -10x = -6x 7 + -6x = 13 Solving 7 + -6x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 13 + -7 -6x = 13 + -7 Combine like terms: 13 + -7 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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