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Simplifying 42 = 6x + 5(2x + -14) Reorder the terms: 42 = 6x + 5(-14 + 2x) 42 = 6x + (-14 * 5 + 2x * 5) 42 = 6x + (-70 + 10x) Reorder the terms: 42 = -70 + 6x + 10x Combine like terms: 6x + 10x = 16x 42 = -70 + 16x Solving 42 = -70 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 42 + -16x = -70 + 16x + -16x Combine like terms: 16x + -16x = 0 42 + -16x = -70 + 0 42 + -16x = -70 Add '-42' to each side of the equation. 42 + -42 + -16x = -70 + -42 Combine like terms: 42 + -42 = 0 0 + -16x = -70 + -42 -16x = -70 + -42 Combine like terms: -70 + -42 = -112 -16x = -112 Divide each side by '-16'. x = 7 Simplifying x = 7
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