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Simplifying 6 + 10x + -19 = 2(3x + 4 + -1) Reorder the terms: 6 + -19 + 10x = 2(3x + 4 + -1) Combine like terms: 6 + -19 = -13 -13 + 10x = 2(3x + 4 + -1) Reorder the terms: -13 + 10x = 2(4 + -1 + 3x) Combine like terms: 4 + -1 = 3 -13 + 10x = 2(3 + 3x) -13 + 10x = (3 * 2 + 3x * 2) -13 + 10x = (6 + 6x) Solving -13 + 10x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -13 + 10x + -6x = 6 + 6x + -6x Combine like terms: 10x + -6x = 4x -13 + 4x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + 4x = 6 + 0 -13 + 4x = 6 Add '13' to each side of the equation. -13 + 13 + 4x = 6 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 6 + 13 4x = 6 + 13 Combine like terms: 6 + 13 = 19 4x = 19 Divide each side by '4'. x = 4.75 Simplifying x = 4.75
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