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Simplifying 7(3x + -4) = 8(x + -6) + 10 Reorder the terms: 7(-4 + 3x) = 8(x + -6) + 10 (-4 * 7 + 3x * 7) = 8(x + -6) + 10 (-28 + 21x) = 8(x + -6) + 10 Reorder the terms: -28 + 21x = 8(-6 + x) + 10 -28 + 21x = (-6 * 8 + x * 8) + 10 -28 + 21x = (-48 + 8x) + 10 Reorder the terms: -28 + 21x = -48 + 10 + 8x Combine like terms: -48 + 10 = -38 -28 + 21x = -38 + 8x Solving -28 + 21x = -38 + 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. -28 + 21x + -8x = -38 + 8x + -8x Combine like terms: 21x + -8x = 13x -28 + 13x = -38 + 8x + -8x Combine like terms: 8x + -8x = 0 -28 + 13x = -38 + 0 -28 + 13x = -38 Add '28' to each side of the equation. -28 + 28 + 13x = -38 + 28 Combine like terms: -28 + 28 = 0 0 + 13x = -38 + 28 13x = -38 + 28 Combine like terms: -38 + 28 = -10 13x = -10 Divide each side by '13'. x = -0.7692307692 Simplifying x = -0.7692307692
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