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Simplifying 4(7x + -5) * 9 + 3(9 + -2x) = 5(4x + 3) Reorder the terms: 4(-5 + 7x) * 9 + 3(9 + -2x) = 5(4x + 3) Reorder the terms for easier multiplication: 4 * 9(-5 + 7x) + 3(9 + -2x) = 5(4x + 3) Multiply 4 * 9 36(-5 + 7x) + 3(9 + -2x) = 5(4x + 3) (-5 * 36 + 7x * 36) + 3(9 + -2x) = 5(4x + 3) (-180 + 252x) + 3(9 + -2x) = 5(4x + 3) -180 + 252x + (9 * 3 + -2x * 3) = 5(4x + 3) -180 + 252x + (27 + -6x) = 5(4x + 3) Reorder the terms: -180 + 27 + 252x + -6x = 5(4x + 3) Combine like terms: -180 + 27 = -153 -153 + 252x + -6x = 5(4x + 3) Combine like terms: 252x + -6x = 246x -153 + 246x = 5(4x + 3) Reorder the terms: -153 + 246x = 5(3 + 4x) -153 + 246x = (3 * 5 + 4x * 5) -153 + 246x = (15 + 20x) Solving -153 + 246x = 15 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -153 + 246x + -20x = 15 + 20x + -20x Combine like terms: 246x + -20x = 226x -153 + 226x = 15 + 20x + -20x Combine like terms: 20x + -20x = 0 -153 + 226x = 15 + 0 -153 + 226x = 15 Add '153' to each side of the equation. -153 + 153 + 226x = 15 + 153 Combine like terms: -153 + 153 = 0 0 + 226x = 15 + 153 226x = 15 + 153 Combine like terms: 15 + 153 = 168 226x = 168 Divide each side by '226'. x = 0.7433628319 Simplifying x = 0.7433628319
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