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Simplifying 6(4x + -4) + -5(3x + -7) = 4(2x + 3) + -5 Reorder the terms: 6(-4 + 4x) + -5(3x + -7) = 4(2x + 3) + -5 (-4 * 6 + 4x * 6) + -5(3x + -7) = 4(2x + 3) + -5 (-24 + 24x) + -5(3x + -7) = 4(2x + 3) + -5 Reorder the terms: -24 + 24x + -5(-7 + 3x) = 4(2x + 3) + -5 -24 + 24x + (-7 * -5 + 3x * -5) = 4(2x + 3) + -5 -24 + 24x + (35 + -15x) = 4(2x + 3) + -5 Reorder the terms: -24 + 35 + 24x + -15x = 4(2x + 3) + -5 Combine like terms: -24 + 35 = 11 11 + 24x + -15x = 4(2x + 3) + -5 Combine like terms: 24x + -15x = 9x 11 + 9x = 4(2x + 3) + -5 Reorder the terms: 11 + 9x = 4(3 + 2x) + -5 11 + 9x = (3 * 4 + 2x * 4) + -5 11 + 9x = (12 + 8x) + -5 Reorder the terms: 11 + 9x = 12 + -5 + 8x Combine like terms: 12 + -5 = 7 11 + 9x = 7 + 8x Solving 11 + 9x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 11 + 9x + -8x = 7 + 8x + -8x Combine like terms: 9x + -8x = 1x 11 + 1x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + 1x = 7 + 0 11 + 1x = 7 Add '-11' to each side of the equation. 11 + -11 + 1x = 7 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 7 + -11 1x = 7 + -11 Combine like terms: 7 + -11 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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