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Simplifying -5(x + 3) + 3(3x + -7) = 3(x + -4) + 11 Reorder the terms: -5(3 + x) + 3(3x + -7) = 3(x + -4) + 11 (3 * -5 + x * -5) + 3(3x + -7) = 3(x + -4) + 11 (-15 + -5x) + 3(3x + -7) = 3(x + -4) + 11 Reorder the terms: -15 + -5x + 3(-7 + 3x) = 3(x + -4) + 11 -15 + -5x + (-7 * 3 + 3x * 3) = 3(x + -4) + 11 -15 + -5x + (-21 + 9x) = 3(x + -4) + 11 Reorder the terms: -15 + -21 + -5x + 9x = 3(x + -4) + 11 Combine like terms: -15 + -21 = -36 -36 + -5x + 9x = 3(x + -4) + 11 Combine like terms: -5x + 9x = 4x -36 + 4x = 3(x + -4) + 11 Reorder the terms: -36 + 4x = 3(-4 + x) + 11 -36 + 4x = (-4 * 3 + x * 3) + 11 -36 + 4x = (-12 + 3x) + 11 Reorder the terms: -36 + 4x = -12 + 11 + 3x Combine like terms: -12 + 11 = -1 -36 + 4x = -1 + 3x Solving -36 + 4x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -36 + 4x + -3x = -1 + 3x + -3x Combine like terms: 4x + -3x = 1x -36 + 1x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 1x = -1 + 0 -36 + 1x = -1 Add '36' to each side of the equation. -36 + 36 + 1x = -1 + 36 Combine like terms: -36 + 36 = 0 0 + 1x = -1 + 36 1x = -1 + 36 Combine like terms: -1 + 36 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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