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Simplifying 5x + 10 = 3(4x + -5) + -3 Reorder the terms: 10 + 5x = 3(4x + -5) + -3 Reorder the terms: 10 + 5x = 3(-5 + 4x) + -3 10 + 5x = (-5 * 3 + 4x * 3) + -3 10 + 5x = (-15 + 12x) + -3 Reorder the terms: 10 + 5x = -15 + -3 + 12x Combine like terms: -15 + -3 = -18 10 + 5x = -18 + 12x Solving 10 + 5x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + 5x + -12x = -18 + 12x + -12x Combine like terms: 5x + -12x = -7x 10 + -7x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -7x = -18 + 0 10 + -7x = -18 Add '-10' to each side of the equation. 10 + -10 + -7x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = -18 + -10 -7x = -18 + -10 Combine like terms: -18 + -10 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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