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Simplifying 13 = (4x + -10) + (3x + -8) Reorder the terms: 13 = (-10 + 4x) + (3x + -8) Remove parenthesis around (-10 + 4x) 13 = -10 + 4x + (3x + -8) Reorder the terms: 13 = -10 + 4x + (-8 + 3x) Remove parenthesis around (-8 + 3x) 13 = -10 + 4x + -8 + 3x Reorder the terms: 13 = -10 + -8 + 4x + 3x Combine like terms: -10 + -8 = -18 13 = -18 + 4x + 3x Combine like terms: 4x + 3x = 7x 13 = -18 + 7x Solving 13 = -18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + -7x = -18 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + -7x = -18 + 0 13 + -7x = -18 Add '-13' to each side of the equation. 13 + -13 + -7x = -18 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = -18 + -13 -7x = -18 + -13 Combine like terms: -18 + -13 = -31 -7x = -31 Divide each side by '-7'. x = 4.428571429 Simplifying x = 4.428571429
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