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Simplifying 5x + -3(x + -4) = -9 + 4x + 11 Reorder the terms: 5x + -3(-4 + x) = -9 + 4x + 11 5x + (-4 * -3 + x * -3) = -9 + 4x + 11 5x + (12 + -3x) = -9 + 4x + 11 Reorder the terms: 12 + 5x + -3x = -9 + 4x + 11 Combine like terms: 5x + -3x = 2x 12 + 2x = -9 + 4x + 11 Reorder the terms: 12 + 2x = -9 + 11 + 4x Combine like terms: -9 + 11 = 2 12 + 2x = 2 + 4x Solving 12 + 2x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 2x + -4x = 2 + 4x + -4x Combine like terms: 2x + -4x = -2x 12 + -2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -2x = 2 + 0 12 + -2x = 2 Add '-12' to each side of the equation. 12 + -12 + -2x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 2 + -12 -2x = 2 + -12 Combine like terms: 2 + -12 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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