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Simplifying 7x + -5 = 3(x + -2) + 5(1 + -3x) Reorder the terms: -5 + 7x = 3(x + -2) + 5(1 + -3x) Reorder the terms: -5 + 7x = 3(-2 + x) + 5(1 + -3x) -5 + 7x = (-2 * 3 + x * 3) + 5(1 + -3x) -5 + 7x = (-6 + 3x) + 5(1 + -3x) -5 + 7x = -6 + 3x + (1 * 5 + -3x * 5) -5 + 7x = -6 + 3x + (5 + -15x) Reorder the terms: -5 + 7x = -6 + 5 + 3x + -15x Combine like terms: -6 + 5 = -1 -5 + 7x = -1 + 3x + -15x Combine like terms: 3x + -15x = -12x -5 + 7x = -1 + -12x Solving -5 + 7x = -1 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -5 + 7x + 12x = -1 + -12x + 12x Combine like terms: 7x + 12x = 19x -5 + 19x = -1 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + 19x = -1 + 0 -5 + 19x = -1 Add '5' to each side of the equation. -5 + 5 + 19x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 19x = -1 + 5 19x = -1 + 5 Combine like terms: -1 + 5 = 4 19x = 4 Divide each side by '19'. x = 0.2105263158 Simplifying x = 0.2105263158
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