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Simplifying 4(2x) + -5 * 6 = 5(7 + x) + 4 * 9 Remove parenthesis around (2x) 4 * 2x + -5 * 6 = 5(7 + x) + 4 * 9 Multiply 4 * 2 8x + -5 * 6 = 5(7 + x) + 4 * 9 Multiply -5 * 6 8x + -30 = 5(7 + x) + 4 * 9 Reorder the terms: -30 + 8x = 5(7 + x) + 4 * 9 -30 + 8x = (7 * 5 + x * 5) + 4 * 9 -30 + 8x = (35 + 5x) + 4 * 9 Multiply 4 * 9 -30 + 8x = 35 + 5x + 36 Reorder the terms: -30 + 8x = 35 + 36 + 5x Combine like terms: 35 + 36 = 71 -30 + 8x = 71 + 5x Solving -30 + 8x = 71 + 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. -30 + 8x + -5x = 71 + 5x + -5x Combine like terms: 8x + -5x = 3x -30 + 3x = 71 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 3x = 71 + 0 -30 + 3x = 71 Add '30' to each side of the equation. -30 + 30 + 3x = 71 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = 71 + 30 3x = 71 + 30 Combine like terms: 71 + 30 = 101 3x = 101 Divide each side by '3'. x = 33.66666667 Simplifying x = 33.66666667
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