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Simplifying 6(4x + -8) + -3 = 6(x + -4) + 63 Reorder the terms: 6(-8 + 4x) + -3 = 6(x + -4) + 63 (-8 * 6 + 4x * 6) + -3 = 6(x + -4) + 63 (-48 + 24x) + -3 = 6(x + -4) + 63 Reorder the terms: -48 + -3 + 24x = 6(x + -4) + 63 Combine like terms: -48 + -3 = -51 -51 + 24x = 6(x + -4) + 63 Reorder the terms: -51 + 24x = 6(-4 + x) + 63 -51 + 24x = (-4 * 6 + x * 6) + 63 -51 + 24x = (-24 + 6x) + 63 Reorder the terms: -51 + 24x = -24 + 63 + 6x Combine like terms: -24 + 63 = 39 -51 + 24x = 39 + 6x Solving -51 + 24x = 39 + 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. -51 + 24x + -6x = 39 + 6x + -6x Combine like terms: 24x + -6x = 18x -51 + 18x = 39 + 6x + -6x Combine like terms: 6x + -6x = 0 -51 + 18x = 39 + 0 -51 + 18x = 39 Add '51' to each side of the equation. -51 + 51 + 18x = 39 + 51 Combine like terms: -51 + 51 = 0 0 + 18x = 39 + 51 18x = 39 + 51 Combine like terms: 39 + 51 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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