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Simplifying 5 + -3(5x + 4) = -1(6x + 1) Reorder the terms: 5 + -3(4 + 5x) = -1(6x + 1) 5 + (4 * -3 + 5x * -3) = -1(6x + 1) 5 + (-12 + -15x) = -1(6x + 1) Combine like terms: 5 + -12 = -7 -7 + -15x = -1(6x + 1) Reorder the terms: -7 + -15x = -1(1 + 6x) -7 + -15x = (1 * -1 + 6x * -1) -7 + -15x = (-1 + -6x) Solving -7 + -15x = -1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + -15x + 6x = -1 + -6x + 6x Combine like terms: -15x + 6x = -9x -7 + -9x = -1 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + -9x = -1 + 0 -7 + -9x = -1 Add '7' to each side of the equation. -7 + 7 + -9x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = -1 + 7 -9x = -1 + 7 Combine like terms: -1 + 7 = 6 -9x = 6 Divide each side by '-9'. x = -0.6666666667 Simplifying x = -0.6666666667
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