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Simplifying 4(x + 3) + 2 = -10(x + -8) + -1 Reorder the terms: 4(3 + x) + 2 = -10(x + -8) + -1 (3 * 4 + x * 4) + 2 = -10(x + -8) + -1 (12 + 4x) + 2 = -10(x + -8) + -1 Reorder the terms: 12 + 2 + 4x = -10(x + -8) + -1 Combine like terms: 12 + 2 = 14 14 + 4x = -10(x + -8) + -1 Reorder the terms: 14 + 4x = -10(-8 + x) + -1 14 + 4x = (-8 * -10 + x * -10) + -1 14 + 4x = (80 + -10x) + -1 Reorder the terms: 14 + 4x = 80 + -1 + -10x Combine like terms: 80 + -1 = 79 14 + 4x = 79 + -10x Solving 14 + 4x = 79 + -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. 14 + 4x + 10x = 79 + -10x + 10x Combine like terms: 4x + 10x = 14x 14 + 14x = 79 + -10x + 10x Combine like terms: -10x + 10x = 0 14 + 14x = 79 + 0 14 + 14x = 79 Add '-14' to each side of the equation. 14 + -14 + 14x = 79 + -14 Combine like terms: 14 + -14 = 0 0 + 14x = 79 + -14 14x = 79 + -14 Combine like terms: 79 + -14 = 65 14x = 65 Divide each side by '14'. x = 4.642857143 Simplifying x = 4.642857143
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