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Simplifying 7(2x + 5) + 4(6 + -1x) = 19 Reorder the terms: 7(5 + 2x) + 4(6 + -1x) = 19 (5 * 7 + 2x * 7) + 4(6 + -1x) = 19 (35 + 14x) + 4(6 + -1x) = 19 35 + 14x + (6 * 4 + -1x * 4) = 19 35 + 14x + (24 + -4x) = 19 Reorder the terms: 35 + 24 + 14x + -4x = 19 Combine like terms: 35 + 24 = 59 59 + 14x + -4x = 19 Combine like terms: 14x + -4x = 10x 59 + 10x = 19 Solving 59 + 10x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + 10x = 19 + -59 Combine like terms: 59 + -59 = 0 0 + 10x = 19 + -59 10x = 19 + -59 Combine like terms: 19 + -59 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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