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Simplifying 16(x + -2) = 24(x + -3) Reorder the terms: 16(-2 + x) = 24(x + -3) (-2 * 16 + x * 16) = 24(x + -3) (-32 + 16x) = 24(x + -3) Reorder the terms: -32 + 16x = 24(-3 + x) -32 + 16x = (-3 * 24 + x * 24) -32 + 16x = (-72 + 24x) Solving -32 + 16x = -72 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -32 + 16x + -24x = -72 + 24x + -24x Combine like terms: 16x + -24x = -8x -32 + -8x = -72 + 24x + -24x Combine like terms: 24x + -24x = 0 -32 + -8x = -72 + 0 -32 + -8x = -72 Add '32' to each side of the equation. -32 + 32 + -8x = -72 + 32 Combine like terms: -32 + 32 = 0 0 + -8x = -72 + 32 -8x = -72 + 32 Combine like terms: -72 + 32 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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