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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) Reorder the terms for easier multiplication: -180 + 252x + 3 * 5(9 + -2x) = (4x + 3) Multiply 3 * 5 -180 + 252x + 15(9 + -2x) = (4x + 3) -180 + 252x + (9 * 15 + -2x * 15) = (4x + 3) -180 + 252x + (135 + -30x) = (4x + 3) Reorder the terms: -180 + 135 + 252x + -30x = (4x + 3) Combine like terms: -180 + 135 = -45 -45 + 252x + -30x = (4x + 3) Combine like terms: 252x + -30x = 222x -45 + 222x = (4x + 3) Reorder the terms: -45 + 222x = (3 + 4x) Remove parenthesis around (3 + 4x) -45 + 222x = 3 + 4x Solving -45 + 222x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -45 + 222x + -4x = 3 + 4x + -4x Combine like terms: 222x + -4x = 218x -45 + 218x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 218x = 3 + 0 -45 + 218x = 3 Add '45' to each side of the equation. -45 + 45 + 218x = 3 + 45 Combine like terms: -45 + 45 = 0 0 + 218x = 3 + 45 218x = 3 + 45 Combine like terms: 3 + 45 = 48 218x = 48 Divide each side by '218'. x = 0.2201834862 Simplifying x = 0.2201834862
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