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Simplifying (7x + -3x)(10 + -3) + (3x + 5) = 100 + 10x Combine like terms: 7x + -3x = 4x (4x)(10 + -3) + (3x + 5) = 100 + 10x Remove parenthesis around (4x) 4x(10 + -3) + (3x + 5) = 100 + 10x Combine like terms: 10 + -3 = 7 4x(7) + (3x + 5) = 100 + 10x Reorder the terms for easier multiplication: 4 * 7x + (3x + 5) = 100 + 10x Multiply 4 * 7 28x + (3x + 5) = 100 + 10x Reorder the terms: 28x + (5 + 3x) = 100 + 10x Remove parenthesis around (5 + 3x) 28x + 5 + 3x = 100 + 10x Reorder the terms: 5 + 28x + 3x = 100 + 10x Combine like terms: 28x + 3x = 31x 5 + 31x = 100 + 10x Solving 5 + 31x = 100 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5 + 31x + -10x = 100 + 10x + -10x Combine like terms: 31x + -10x = 21x 5 + 21x = 100 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + 21x = 100 + 0 5 + 21x = 100 Add '-5' to each side of the equation. 5 + -5 + 21x = 100 + -5 Combine like terms: 5 + -5 = 0 0 + 21x = 100 + -5 21x = 100 + -5 Combine like terms: 100 + -5 = 95 21x = 95 Divide each side by '21'. x = 4.523809524 Simplifying x = 4.523809524
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