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