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Simplifying 102 = 4x + 3(6x + -10) Reorder the terms: 102 = 4x + 3(-10 + 6x) 102 = 4x + (-10 * 3 + 6x * 3) 102 = 4x + (-30 + 18x) Reorder the terms: 102 = -30 + 4x + 18x Combine like terms: 4x + 18x = 22x 102 = -30 + 22x Solving 102 = -30 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 102 + -22x = -30 + 22x + -22x Combine like terms: 22x + -22x = 0 102 + -22x = -30 + 0 102 + -22x = -30 Add '-102' to each side of the equation. 102 + -102 + -22x = -30 + -102 Combine like terms: 102 + -102 = 0 0 + -22x = -30 + -102 -22x = -30 + -102 Combine like terms: -30 + -102 = -132 -22x = -132 Divide each side by '-22'. x = 6 Simplifying x = 6
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