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Simplifying 15[4 + -1(x + -7)] + -1(12x + -13) = 0 Reorder the terms: 15[4 + -1(-7 + x)] + -1(12x + -13) = 0 15[4 + (-7 * -1 + x * -1)] + -1(12x + -13) = 0 15[4 + (7 + -1x)] + -1(12x + -13) = 0 Combine like terms: 4 + 7 = 11 15[11 + -1x] + -1(12x + -13) = 0 [11 * 15 + -1x * 15] + -1(12x + -13) = 0 [165 + -15x] + -1(12x + -13) = 0 Reorder the terms: 165 + -15x + -1(-13 + 12x) = 0 165 + -15x + (-13 * -1 + 12x * -1) = 0 165 + -15x + (13 + -12x) = 0 Reorder the terms: 165 + 13 + -15x + -12x = 0 Combine like terms: 165 + 13 = 178 178 + -15x + -12x = 0 Combine like terms: -15x + -12x = -27x 178 + -27x = 0 Solving 178 + -27x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-178' to each side of the equation. 178 + -178 + -27x = 0 + -178 Combine like terms: 178 + -178 = 0 0 + -27x = 0 + -178 -27x = 0 + -178 Combine like terms: 0 + -178 = -178 -27x = -178 Divide each side by '-27'. x = 6.592592593 Simplifying x = 6.592592593
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