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Simplifying 19x + -6 = 6(x + 3) + -10 Reorder the terms: -6 + 19x = 6(x + 3) + -10 Reorder the terms: -6 + 19x = 6(3 + x) + -10 -6 + 19x = (3 * 6 + x * 6) + -10 -6 + 19x = (18 + 6x) + -10 Reorder the terms: -6 + 19x = 18 + -10 + 6x Combine like terms: 18 + -10 = 8 -6 + 19x = 8 + 6x Solving -6 + 19x = 8 + 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. -6 + 19x + -6x = 8 + 6x + -6x Combine like terms: 19x + -6x = 13x -6 + 13x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 13x = 8 + 0 -6 + 13x = 8 Add '6' to each side of the equation. -6 + 6 + 13x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = 8 + 6 13x = 8 + 6 Combine like terms: 8 + 6 = 14 13x = 14 Divide each side by '13'. x = 1.076923077 Simplifying x = 1.076923077
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