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Simplifying 5(2 + 3x) = -1(x + -7) (2 * 5 + 3x * 5) = -1(x + -7) (10 + 15x) = -1(x + -7) Reorder the terms: 10 + 15x = -1(-7 + x) 10 + 15x = (-7 * -1 + x * -1) 10 + 15x = (7 + -1x) Solving 10 + 15x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 15x + x = 7 + -1x + x Combine like terms: 15x + x = 16x 10 + 16x = 7 + -1x + x Combine like terms: -1x + x = 0 10 + 16x = 7 + 0 10 + 16x = 7 Add '-10' to each side of the equation. 10 + -10 + 16x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 16x = 7 + -10 16x = 7 + -10 Combine like terms: 7 + -10 = -3 16x = -3 Divide each side by '16'. x = -0.1875 Simplifying x = -0.1875
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