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Simplifying 3[5x + -1(4x + -6)] = 5(x + -7) Reorder the terms: 3[5x + -1(-6 + 4x)] = 5(x + -7) 3[5x + (-6 * -1 + 4x * -1)] = 5(x + -7) 3[5x + (6 + -4x)] = 5(x + -7) Reorder the terms: 3[6 + 5x + -4x] = 5(x + -7) Combine like terms: 5x + -4x = 1x 3[6 + 1x] = 5(x + -7) [6 * 3 + 1x * 3] = 5(x + -7) [18 + 3x] = 5(x + -7) Reorder the terms: 18 + 3x = 5(-7 + x) 18 + 3x = (-7 * 5 + x * 5) 18 + 3x = (-35 + 5x) Solving 18 + 3x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 3x + -5x = -35 + 5x + -5x Combine like terms: 3x + -5x = -2x 18 + -2x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -2x = -35 + 0 18 + -2x = -35 Add '-18' to each side of the equation. 18 + -18 + -2x = -35 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = -35 + -18 -2x = -35 + -18 Combine like terms: -35 + -18 = -53 -2x = -53 Divide each side by '-2'. x = 26.5 Simplifying x = 26.5
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