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Simplifying 6(4x + -3) + 5(14 + -3x) = 2(4x + 5) + -3 Reorder the terms: 6(-3 + 4x) + 5(14 + -3x) = 2(4x + 5) + -3 (-3 * 6 + 4x * 6) + 5(14 + -3x) = 2(4x + 5) + -3 (-18 + 24x) + 5(14 + -3x) = 2(4x + 5) + -3 -18 + 24x + (14 * 5 + -3x * 5) = 2(4x + 5) + -3 -18 + 24x + (70 + -15x) = 2(4x + 5) + -3 Reorder the terms: -18 + 70 + 24x + -15x = 2(4x + 5) + -3 Combine like terms: -18 + 70 = 52 52 + 24x + -15x = 2(4x + 5) + -3 Combine like terms: 24x + -15x = 9x 52 + 9x = 2(4x + 5) + -3 Reorder the terms: 52 + 9x = 2(5 + 4x) + -3 52 + 9x = (5 * 2 + 4x * 2) + -3 52 + 9x = (10 + 8x) + -3 Reorder the terms: 52 + 9x = 10 + -3 + 8x Combine like terms: 10 + -3 = 7 52 + 9x = 7 + 8x Solving 52 + 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. 52 + 9x + -8x = 7 + 8x + -8x Combine like terms: 9x + -8x = 1x 52 + 1x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 52 + 1x = 7 + 0 52 + 1x = 7 Add '-52' to each side of the equation. 52 + -52 + 1x = 7 + -52 Combine like terms: 52 + -52 = 0 0 + 1x = 7 + -52 1x = 7 + -52 Combine like terms: 7 + -52 = -45 1x = -45 Divide each side by '1'. x = -45 Simplifying x = -45
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