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Simplifying 4x + -13 + 11x = 5(6x + -4) + 2 Reorder the terms: -13 + 4x + 11x = 5(6x + -4) + 2 Combine like terms: 4x + 11x = 15x -13 + 15x = 5(6x + -4) + 2 Reorder the terms: -13 + 15x = 5(-4 + 6x) + 2 -13 + 15x = (-4 * 5 + 6x * 5) + 2 -13 + 15x = (-20 + 30x) + 2 Reorder the terms: -13 + 15x = -20 + 2 + 30x Combine like terms: -20 + 2 = -18 -13 + 15x = -18 + 30x Solving -13 + 15x = -18 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -13 + 15x + -30x = -18 + 30x + -30x Combine like terms: 15x + -30x = -15x -13 + -15x = -18 + 30x + -30x Combine like terms: 30x + -30x = 0 -13 + -15x = -18 + 0 -13 + -15x = -18 Add '13' to each side of the equation. -13 + 13 + -15x = -18 + 13 Combine like terms: -13 + 13 = 0 0 + -15x = -18 + 13 -15x = -18 + 13 Combine like terms: -18 + 13 = -5 -15x = -5 Divide each side by '-15'. x = 0.3333333333 Simplifying x = 0.3333333333
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