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Simplifying 5(3x + -4) + -7(2x + -3) = 2x + 11 Reorder the terms: 5(-4 + 3x) + -7(2x + -3) = 2x + 11 (-4 * 5 + 3x * 5) + -7(2x + -3) = 2x + 11 (-20 + 15x) + -7(2x + -3) = 2x + 11 Reorder the terms: -20 + 15x + -7(-3 + 2x) = 2x + 11 -20 + 15x + (-3 * -7 + 2x * -7) = 2x + 11 -20 + 15x + (21 + -14x) = 2x + 11 Reorder the terms: -20 + 21 + 15x + -14x = 2x + 11 Combine like terms: -20 + 21 = 1 1 + 15x + -14x = 2x + 11 Combine like terms: 15x + -14x = 1x 1 + 1x = 2x + 11 Reorder the terms: 1 + 1x = 11 + 2x Solving 1 + 1x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 1x + -2x = 11 + 2x + -2x Combine like terms: 1x + -2x = -1x 1 + -1x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -1x = 11 + 0 1 + -1x = 11 Add '-1' to each side of the equation. 1 + -1 + -1x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 11 + -1 -1x = 11 + -1 Combine like terms: 11 + -1 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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