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Simplifying -4(x + 1) = 5(3x + 1) Reorder the terms: -4(1 + x) = 5(3x + 1) (1 * -4 + x * -4) = 5(3x + 1) (-4 + -4x) = 5(3x + 1) Reorder the terms: -4 + -4x = 5(1 + 3x) -4 + -4x = (1 * 5 + 3x * 5) -4 + -4x = (5 + 15x) Solving -4 + -4x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -4 + -4x + -15x = 5 + 15x + -15x Combine like terms: -4x + -15x = -19x -4 + -19x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 -4 + -19x = 5 + 0 -4 + -19x = 5 Add '4' to each side of the equation. -4 + 4 + -19x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -19x = 5 + 4 -19x = 5 + 4 Combine like terms: 5 + 4 = 9 -19x = 9 Divide each side by '-19'. x = -0.4736842105 Simplifying x = -0.4736842105
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