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Simplifying 2(x + -3) + 2(-4x + -5) = -7(x + 4) + 9 Reorder the terms: 2(-3 + x) + 2(-4x + -5) = -7(x + 4) + 9 (-3 * 2 + x * 2) + 2(-4x + -5) = -7(x + 4) + 9 (-6 + 2x) + 2(-4x + -5) = -7(x + 4) + 9 Reorder the terms: -6 + 2x + 2(-5 + -4x) = -7(x + 4) + 9 -6 + 2x + (-5 * 2 + -4x * 2) = -7(x + 4) + 9 -6 + 2x + (-10 + -8x) = -7(x + 4) + 9 Reorder the terms: -6 + -10 + 2x + -8x = -7(x + 4) + 9 Combine like terms: -6 + -10 = -16 -16 + 2x + -8x = -7(x + 4) + 9 Combine like terms: 2x + -8x = -6x -16 + -6x = -7(x + 4) + 9 Reorder the terms: -16 + -6x = -7(4 + x) + 9 -16 + -6x = (4 * -7 + x * -7) + 9 -16 + -6x = (-28 + -7x) + 9 Reorder the terms: -16 + -6x = -28 + 9 + -7x Combine like terms: -28 + 9 = -19 -16 + -6x = -19 + -7x Solving -16 + -6x = -19 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -16 + -6x + 7x = -19 + -7x + 7x Combine like terms: -6x + 7x = 1x -16 + 1x = -19 + -7x + 7x Combine like terms: -7x + 7x = 0 -16 + 1x = -19 + 0 -16 + 1x = -19 Add '16' to each side of the equation. -16 + 16 + 1x = -19 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -19 + 16 1x = -19 + 16 Combine like terms: -19 + 16 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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