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Simplifying 6x + -3(x + -8) = 4(x + -7) + 6 Reorder the terms: 6x + -3(-8 + x) = 4(x + -7) + 6 6x + (-8 * -3 + x * -3) = 4(x + -7) + 6 6x + (24 + -3x) = 4(x + -7) + 6 Reorder the terms: 24 + 6x + -3x = 4(x + -7) + 6 Combine like terms: 6x + -3x = 3x 24 + 3x = 4(x + -7) + 6 Reorder the terms: 24 + 3x = 4(-7 + x) + 6 24 + 3x = (-7 * 4 + x * 4) + 6 24 + 3x = (-28 + 4x) + 6 Reorder the terms: 24 + 3x = -28 + 6 + 4x Combine like terms: -28 + 6 = -22 24 + 3x = -22 + 4x Solving 24 + 3x = -22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 3x + -4x = -22 + 4x + -4x Combine like terms: 3x + -4x = -1x 24 + -1x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -1x = -22 + 0 24 + -1x = -22 Add '-24' to each side of the equation. 24 + -24 + -1x = -22 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -22 + -24 -1x = -22 + -24 Combine like terms: -22 + -24 = -46 -1x = -46 Divide each side by '-1'. x = 46 Simplifying x = 46
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