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Simplifying 9(15x) + 3(x + -10) = 66x + 42 Remove parenthesis around (15x) 9 * 15x + 3(x + -10) = 66x + 42 Multiply 9 * 15 135x + 3(x + -10) = 66x + 42 Reorder the terms: 135x + 3(-10 + x) = 66x + 42 135x + (-10 * 3 + x * 3) = 66x + 42 135x + (-30 + 3x) = 66x + 42 Reorder the terms: -30 + 135x + 3x = 66x + 42 Combine like terms: 135x + 3x = 138x -30 + 138x = 66x + 42 Reorder the terms: -30 + 138x = 42 + 66x Solving -30 + 138x = 42 + 66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66x' to each side of the equation. -30 + 138x + -66x = 42 + 66x + -66x Combine like terms: 138x + -66x = 72x -30 + 72x = 42 + 66x + -66x Combine like terms: 66x + -66x = 0 -30 + 72x = 42 + 0 -30 + 72x = 42 Add '30' to each side of the equation. -30 + 30 + 72x = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 72x = 42 + 30 72x = 42 + 30 Combine like terms: 42 + 30 = 72 72x = 72 Divide each side by '72'. x = 1 Simplifying x = 1
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