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Simplifying 10 + -7x = 4(11 + -6x) 10 + -7x = (11 * 4 + -6x * 4) 10 + -7x = (44 + -24x) Solving 10 + -7x = 44 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 10 + -7x + 24x = 44 + -24x + 24x Combine like terms: -7x + 24x = 17x 10 + 17x = 44 + -24x + 24x Combine like terms: -24x + 24x = 0 10 + 17x = 44 + 0 10 + 17x = 44 Add '-10' to each side of the equation. 10 + -10 + 17x = 44 + -10 Combine like terms: 10 + -10 = 0 0 + 17x = 44 + -10 17x = 44 + -10 Combine like terms: 44 + -10 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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