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Simplifying 3x + 11 + -5(x + -3) = 4(x + 3 + -7) Reorder the terms: 3x + 11 + -5(-3 + x) = 4(x + 3 + -7) 3x + 11 + (-3 * -5 + x * -5) = 4(x + 3 + -7) 3x + 11 + (15 + -5x) = 4(x + 3 + -7) Reorder the terms: 11 + 15 + 3x + -5x = 4(x + 3 + -7) Combine like terms: 11 + 15 = 26 26 + 3x + -5x = 4(x + 3 + -7) Combine like terms: 3x + -5x = -2x 26 + -2x = 4(x + 3 + -7) Reorder the terms: 26 + -2x = 4(3 + -7 + x) Combine like terms: 3 + -7 = -4 26 + -2x = 4(-4 + x) 26 + -2x = (-4 * 4 + x * 4) 26 + -2x = (-16 + 4x) Solving 26 + -2x = -16 + 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. 26 + -2x + -4x = -16 + 4x + -4x Combine like terms: -2x + -4x = -6x 26 + -6x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 26 + -6x = -16 + 0 26 + -6x = -16 Add '-26' to each side of the equation. 26 + -26 + -6x = -16 + -26 Combine like terms: 26 + -26 = 0 0 + -6x = -16 + -26 -6x = -16 + -26 Combine like terms: -16 + -26 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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