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Simplifying 6(x + 3) + 4 = -10(x + -2) + -1 Reorder the terms: 6(3 + x) + 4 = -10(x + -2) + -1 (3 * 6 + x * 6) + 4 = -10(x + -2) + -1 (18 + 6x) + 4 = -10(x + -2) + -1 Reorder the terms: 18 + 4 + 6x = -10(x + -2) + -1 Combine like terms: 18 + 4 = 22 22 + 6x = -10(x + -2) + -1 Reorder the terms: 22 + 6x = -10(-2 + x) + -1 22 + 6x = (-2 * -10 + x * -10) + -1 22 + 6x = (20 + -10x) + -1 Reorder the terms: 22 + 6x = 20 + -1 + -10x Combine like terms: 20 + -1 = 19 22 + 6x = 19 + -10x Solving 22 + 6x = 19 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 22 + 6x + 10x = 19 + -10x + 10x Combine like terms: 6x + 10x = 16x 22 + 16x = 19 + -10x + 10x Combine like terms: -10x + 10x = 0 22 + 16x = 19 + 0 22 + 16x = 19 Add '-22' to each side of the equation. 22 + -22 + 16x = 19 + -22 Combine like terms: 22 + -22 = 0 0 + 16x = 19 + -22 16x = 19 + -22 Combine like terms: 19 + -22 = -3 16x = -3 Divide each side by '16'. x = -0.1875 Simplifying x = -0.1875
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