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Simplifying 5(3x + -2) + 5 = 4 + -7(2x + -1) Reorder the terms: 5(-2 + 3x) + 5 = 4 + -7(2x + -1) (-2 * 5 + 3x * 5) + 5 = 4 + -7(2x + -1) (-10 + 15x) + 5 = 4 + -7(2x + -1) Reorder the terms: -10 + 5 + 15x = 4 + -7(2x + -1) Combine like terms: -10 + 5 = -5 -5 + 15x = 4 + -7(2x + -1) Reorder the terms: -5 + 15x = 4 + -7(-1 + 2x) -5 + 15x = 4 + (-1 * -7 + 2x * -7) -5 + 15x = 4 + (7 + -14x) Combine like terms: 4 + 7 = 11 -5 + 15x = 11 + -14x Solving -5 + 15x = 11 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -5 + 15x + 14x = 11 + -14x + 14x Combine like terms: 15x + 14x = 29x -5 + 29x = 11 + -14x + 14x Combine like terms: -14x + 14x = 0 -5 + 29x = 11 + 0 -5 + 29x = 11 Add '5' to each side of the equation. -5 + 5 + 29x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 29x = 11 + 5 29x = 11 + 5 Combine like terms: 11 + 5 = 16 29x = 16 Divide each side by '29'. x = 0.5517241379 Simplifying x = 0.5517241379
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