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Simplifying 15x + 7 = -19(11x + 35) Reorder the terms: 7 + 15x = -19(11x + 35) Reorder the terms: 7 + 15x = -19(35 + 11x) 7 + 15x = (35 * -19 + 11x * -19) 7 + 15x = (-665 + -209x) Solving 7 + 15x = -665 + -209x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '209x' to each side of the equation. 7 + 15x + 209x = -665 + -209x + 209x Combine like terms: 15x + 209x = 224x 7 + 224x = -665 + -209x + 209x Combine like terms: -209x + 209x = 0 7 + 224x = -665 + 0 7 + 224x = -665 Add '-7' to each side of the equation. 7 + -7 + 224x = -665 + -7 Combine like terms: 7 + -7 = 0 0 + 224x = -665 + -7 224x = -665 + -7 Combine like terms: -665 + -7 = -672 224x = -672 Divide each side by '224'. x = -3 Simplifying x = -3
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