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Simplifying 5x + -7 + 3x + 11 = 15x + -13 + 4x + 7 Reorder the terms: -7 + 11 + 5x + 3x = 15x + -13 + 4x + 7 Combine like terms: -7 + 11 = 4 4 + 5x + 3x = 15x + -13 + 4x + 7 Combine like terms: 5x + 3x = 8x 4 + 8x = 15x + -13 + 4x + 7 Reorder the terms: 4 + 8x = -13 + 7 + 15x + 4x Combine like terms: -13 + 7 = -6 4 + 8x = -6 + 15x + 4x Combine like terms: 15x + 4x = 19x 4 + 8x = -6 + 19x Solving 4 + 8x = -6 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 4 + 8x + -19x = -6 + 19x + -19x Combine like terms: 8x + -19x = -11x 4 + -11x = -6 + 19x + -19x Combine like terms: 19x + -19x = 0 4 + -11x = -6 + 0 4 + -11x = -6 Add '-4' to each side of the equation. 4 + -4 + -11x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = -6 + -4 -11x = -6 + -4 Combine like terms: -6 + -4 = -10 -11x = -10 Divide each side by '-11'. x = 0.9090909091 Simplifying x = 0.9090909091
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