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Simplifying 7(4x + -4) + -5(3x + -14) = 4(3x + 4) + -7 Reorder the terms: 7(-4 + 4x) + -5(3x + -14) = 4(3x + 4) + -7 (-4 * 7 + 4x * 7) + -5(3x + -14) = 4(3x + 4) + -7 (-28 + 28x) + -5(3x + -14) = 4(3x + 4) + -7 Reorder the terms: -28 + 28x + -5(-14 + 3x) = 4(3x + 4) + -7 -28 + 28x + (-14 * -5 + 3x * -5) = 4(3x + 4) + -7 -28 + 28x + (70 + -15x) = 4(3x + 4) + -7 Reorder the terms: -28 + 70 + 28x + -15x = 4(3x + 4) + -7 Combine like terms: -28 + 70 = 42 42 + 28x + -15x = 4(3x + 4) + -7 Combine like terms: 28x + -15x = 13x 42 + 13x = 4(3x + 4) + -7 Reorder the terms: 42 + 13x = 4(4 + 3x) + -7 42 + 13x = (4 * 4 + 3x * 4) + -7 42 + 13x = (16 + 12x) + -7 Reorder the terms: 42 + 13x = 16 + -7 + 12x Combine like terms: 16 + -7 = 9 42 + 13x = 9 + 12x Solving 42 + 13x = 9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 42 + 13x + -12x = 9 + 12x + -12x Combine like terms: 13x + -12x = 1x 42 + 1x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + 1x = 9 + 0 42 + 1x = 9 Add '-42' to each side of the equation. 42 + -42 + 1x = 9 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 9 + -42 1x = 9 + -42 Combine like terms: 9 + -42 = -33 1x = -33 Divide each side by '1'. x = -33 Simplifying x = -33
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