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Simplifying 5(3x + 1) = -2(6x + -3) + 188 Reorder the terms: 5(1 + 3x) = -2(6x + -3) + 188 (1 * 5 + 3x * 5) = -2(6x + -3) + 188 (5 + 15x) = -2(6x + -3) + 188 Reorder the terms: 5 + 15x = -2(-3 + 6x) + 188 5 + 15x = (-3 * -2 + 6x * -2) + 188 5 + 15x = (6 + -12x) + 188 Reorder the terms: 5 + 15x = 6 + 188 + -12x Combine like terms: 6 + 188 = 194 5 + 15x = 194 + -12x Solving 5 + 15x = 194 + -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. 5 + 15x + 12x = 194 + -12x + 12x Combine like terms: 15x + 12x = 27x 5 + 27x = 194 + -12x + 12x Combine like terms: -12x + 12x = 0 5 + 27x = 194 + 0 5 + 27x = 194 Add '-5' to each side of the equation. 5 + -5 + 27x = 194 + -5 Combine like terms: 5 + -5 = 0 0 + 27x = 194 + -5 27x = 194 + -5 Combine like terms: 194 + -5 = 189 27x = 189 Divide each side by '27'. x = 7 Simplifying x = 7
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