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Simplifying 7(2)(x + -5) = 6(3)(x + 4) Reorder the terms: 7 * 2(-5 + x) = 6(3)(x + 4) Multiply 7 * 2 14(-5 + x) = 6(3)(x + 4) (-5 * 14 + x * 14) = 6(3)(x + 4) (-70 + 14x) = 6(3)(x + 4) Reorder the terms: -70 + 14x = 6 * 3(4 + x) Multiply 6 * 3 -70 + 14x = 18(4 + x) -70 + 14x = (4 * 18 + x * 18) -70 + 14x = (72 + 18x) Solving -70 + 14x = 72 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -70 + 14x + -18x = 72 + 18x + -18x Combine like terms: 14x + -18x = -4x -70 + -4x = 72 + 18x + -18x Combine like terms: 18x + -18x = 0 -70 + -4x = 72 + 0 -70 + -4x = 72 Add '70' to each side of the equation. -70 + 70 + -4x = 72 + 70 Combine like terms: -70 + 70 = 0 0 + -4x = 72 + 70 -4x = 72 + 70 Combine like terms: 72 + 70 = 142 -4x = 142 Divide each side by '-4'. x = -35.5 Simplifying x = -35.5
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