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Simplifying 14(3x + -2) = -16(x + 9) Reorder the terms: 14(-2 + 3x) = -16(x + 9) (-2 * 14 + 3x * 14) = -16(x + 9) (-28 + 42x) = -16(x + 9) Reorder the terms: -28 + 42x = -16(9 + x) -28 + 42x = (9 * -16 + x * -16) -28 + 42x = (-144 + -16x) Solving -28 + 42x = -144 + -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. -28 + 42x + 16x = -144 + -16x + 16x Combine like terms: 42x + 16x = 58x -28 + 58x = -144 + -16x + 16x Combine like terms: -16x + 16x = 0 -28 + 58x = -144 + 0 -28 + 58x = -144 Add '28' to each side of the equation. -28 + 28 + 58x = -144 + 28 Combine like terms: -28 + 28 = 0 0 + 58x = -144 + 28 58x = -144 + 28 Combine like terms: -144 + 28 = -116 58x = -116 Divide each side by '58'. x = -2 Simplifying x = -2
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