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Simplifying 8(3x + -7) = -6(x + 7) + 4 Reorder the terms: 8(-7 + 3x) = -6(x + 7) + 4 (-7 * 8 + 3x * 8) = -6(x + 7) + 4 (-56 + 24x) = -6(x + 7) + 4 Reorder the terms: -56 + 24x = -6(7 + x) + 4 -56 + 24x = (7 * -6 + x * -6) + 4 -56 + 24x = (-42 + -6x) + 4 Reorder the terms: -56 + 24x = -42 + 4 + -6x Combine like terms: -42 + 4 = -38 -56 + 24x = -38 + -6x Solving -56 + 24x = -38 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -56 + 24x + 6x = -38 + -6x + 6x Combine like terms: 24x + 6x = 30x -56 + 30x = -38 + -6x + 6x Combine like terms: -6x + 6x = 0 -56 + 30x = -38 + 0 -56 + 30x = -38 Add '56' to each side of the equation. -56 + 56 + 30x = -38 + 56 Combine like terms: -56 + 56 = 0 0 + 30x = -38 + 56 30x = -38 + 56 Combine like terms: -38 + 56 = 18 30x = 18 Divide each side by '30'. x = 0.6 Simplifying x = 0.6
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