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Simplifying 14x + -3(2x + -9) = 4(4x + -16) + 11 Reorder the terms: 14x + -3(-9 + 2x) = 4(4x + -16) + 11 14x + (-9 * -3 + 2x * -3) = 4(4x + -16) + 11 14x + (27 + -6x) = 4(4x + -16) + 11 Reorder the terms: 27 + 14x + -6x = 4(4x + -16) + 11 Combine like terms: 14x + -6x = 8x 27 + 8x = 4(4x + -16) + 11 Reorder the terms: 27 + 8x = 4(-16 + 4x) + 11 27 + 8x = (-16 * 4 + 4x * 4) + 11 27 + 8x = (-64 + 16x) + 11 Reorder the terms: 27 + 8x = -64 + 11 + 16x Combine like terms: -64 + 11 = -53 27 + 8x = -53 + 16x Solving 27 + 8x = -53 + 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. 27 + 8x + -16x = -53 + 16x + -16x Combine like terms: 8x + -16x = -8x 27 + -8x = -53 + 16x + -16x Combine like terms: 16x + -16x = 0 27 + -8x = -53 + 0 27 + -8x = -53 Add '-27' to each side of the equation. 27 + -27 + -8x = -53 + -27 Combine like terms: 27 + -27 = 0 0 + -8x = -53 + -27 -8x = -53 + -27 Combine like terms: -53 + -27 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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