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Simplifying 6(x + -2) + 3(-7x + -5) = -16(x + 1) + -9 Reorder the terms: 6(-2 + x) + 3(-7x + -5) = -16(x + 1) + -9 (-2 * 6 + x * 6) + 3(-7x + -5) = -16(x + 1) + -9 (-12 + 6x) + 3(-7x + -5) = -16(x + 1) + -9 Reorder the terms: -12 + 6x + 3(-5 + -7x) = -16(x + 1) + -9 -12 + 6x + (-5 * 3 + -7x * 3) = -16(x + 1) + -9 -12 + 6x + (-15 + -21x) = -16(x + 1) + -9 Reorder the terms: -12 + -15 + 6x + -21x = -16(x + 1) + -9 Combine like terms: -12 + -15 = -27 -27 + 6x + -21x = -16(x + 1) + -9 Combine like terms: 6x + -21x = -15x -27 + -15x = -16(x + 1) + -9 Reorder the terms: -27 + -15x = -16(1 + x) + -9 -27 + -15x = (1 * -16 + x * -16) + -9 -27 + -15x = (-16 + -16x) + -9 Reorder the terms: -27 + -15x = -16 + -9 + -16x Combine like terms: -16 + -9 = -25 -27 + -15x = -25 + -16x Solving -27 + -15x = -25 + -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 + -15x + 16x = -25 + -16x + 16x Combine like terms: -15x + 16x = 1x -27 + 1x = -25 + -16x + 16x Combine like terms: -16x + 16x = 0 -27 + 1x = -25 + 0 -27 + 1x = -25 Add '27' to each side of the equation. -27 + 27 + 1x = -25 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = -25 + 27 1x = -25 + 27 Combine like terms: -25 + 27 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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