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Simplifying 8(x + 3) * 19 = 15 + 2(x + 35) Reorder the terms: 8(3 + x) * 19 = 15 + 2(x + 35) Reorder the terms for easier multiplication: 8 * 19(3 + x) = 15 + 2(x + 35) Multiply 8 * 19 152(3 + x) = 15 + 2(x + 35) (3 * 152 + x * 152) = 15 + 2(x + 35) (456 + 152x) = 15 + 2(x + 35) Reorder the terms: 456 + 152x = 15 + 2(35 + x) 456 + 152x = 15 + (35 * 2 + x * 2) 456 + 152x = 15 + (70 + 2x) Combine like terms: 15 + 70 = 85 456 + 152x = 85 + 2x Solving 456 + 152x = 85 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 456 + 152x + -2x = 85 + 2x + -2x Combine like terms: 152x + -2x = 150x 456 + 150x = 85 + 2x + -2x Combine like terms: 2x + -2x = 0 456 + 150x = 85 + 0 456 + 150x = 85 Add '-456' to each side of the equation. 456 + -456 + 150x = 85 + -456 Combine like terms: 456 + -456 = 0 0 + 150x = 85 + -456 150x = 85 + -456 Combine like terms: 85 + -456 = -371 150x = -371 Divide each side by '150'. x = -2.473333333 Simplifying x = -2.473333333
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