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Simplifying 4(3x + -5) * 6 = 7(x + -2) + 6x Reorder the terms: 4(-5 + 3x) * 6 = 7(x + -2) + 6x Reorder the terms for easier multiplication: 4 * 6(-5 + 3x) = 7(x + -2) + 6x Multiply 4 * 6 24(-5 + 3x) = 7(x + -2) + 6x (-5 * 24 + 3x * 24) = 7(x + -2) + 6x (-120 + 72x) = 7(x + -2) + 6x Reorder the terms: -120 + 72x = 7(-2 + x) + 6x -120 + 72x = (-2 * 7 + x * 7) + 6x -120 + 72x = (-14 + 7x) + 6x Combine like terms: 7x + 6x = 13x -120 + 72x = -14 + 13x Solving -120 + 72x = -14 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -120 + 72x + -13x = -14 + 13x + -13x Combine like terms: 72x + -13x = 59x -120 + 59x = -14 + 13x + -13x Combine like terms: 13x + -13x = 0 -120 + 59x = -14 + 0 -120 + 59x = -14 Add '120' to each side of the equation. -120 + 120 + 59x = -14 + 120 Combine like terms: -120 + 120 = 0 0 + 59x = -14 + 120 59x = -14 + 120 Combine like terms: -14 + 120 = 106 59x = 106 Divide each side by '59'. x = 1.796610169 Simplifying x = 1.796610169
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