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Simplifying 13 + -5x + -3 = 2(x + -4) + -3 Reorder the terms: 13 + -3 + -5x = 2(x + -4) + -3 Combine like terms: 13 + -3 = 10 10 + -5x = 2(x + -4) + -3 Reorder the terms: 10 + -5x = 2(-4 + x) + -3 10 + -5x = (-4 * 2 + x * 2) + -3 10 + -5x = (-8 + 2x) + -3 Reorder the terms: 10 + -5x = -8 + -3 + 2x Combine like terms: -8 + -3 = -11 10 + -5x = -11 + 2x Solving 10 + -5x = -11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + -5x + -2x = -11 + 2x + -2x Combine like terms: -5x + -2x = -7x 10 + -7x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -7x = -11 + 0 10 + -7x = -11 Add '-10' to each side of the equation. 10 + -10 + -7x = -11 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = -11 + -10 -7x = -11 + -10 Combine like terms: -11 + -10 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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