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Simplifying 4(3x + 6) + -6(4x + -7) = 10x + 3(2x + -8) Reorder the terms: 4(6 + 3x) + -6(4x + -7) = 10x + 3(2x + -8) (6 * 4 + 3x * 4) + -6(4x + -7) = 10x + 3(2x + -8) (24 + 12x) + -6(4x + -7) = 10x + 3(2x + -8) Reorder the terms: 24 + 12x + -6(-7 + 4x) = 10x + 3(2x + -8) 24 + 12x + (-7 * -6 + 4x * -6) = 10x + 3(2x + -8) 24 + 12x + (42 + -24x) = 10x + 3(2x + -8) Reorder the terms: 24 + 42 + 12x + -24x = 10x + 3(2x + -8) Combine like terms: 24 + 42 = 66 66 + 12x + -24x = 10x + 3(2x + -8) Combine like terms: 12x + -24x = -12x 66 + -12x = 10x + 3(2x + -8) Reorder the terms: 66 + -12x = 10x + 3(-8 + 2x) 66 + -12x = 10x + (-8 * 3 + 2x * 3) 66 + -12x = 10x + (-24 + 6x) Reorder the terms: 66 + -12x = -24 + 10x + 6x Combine like terms: 10x + 6x = 16x 66 + -12x = -24 + 16x Solving 66 + -12x = -24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 66 + -12x + -16x = -24 + 16x + -16x Combine like terms: -12x + -16x = -28x 66 + -28x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 66 + -28x = -24 + 0 66 + -28x = -24 Add '-66' to each side of the equation. 66 + -66 + -28x = -24 + -66 Combine like terms: 66 + -66 = 0 0 + -28x = -24 + -66 -28x = -24 + -66 Combine like terms: -24 + -66 = -90 -28x = -90 Divide each side by '-28'. x = 3.214285714 Simplifying x = 3.214285714
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