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Simplifying 6(x + -10) + -3 = 24x + -279 Reorder the terms: 6(-10 + x) + -3 = 24x + -279 (-10 * 6 + x * 6) + -3 = 24x + -279 (-60 + 6x) + -3 = 24x + -279 Reorder the terms: -60 + -3 + 6x = 24x + -279 Combine like terms: -60 + -3 = -63 -63 + 6x = 24x + -279 Reorder the terms: -63 + 6x = -279 + 24x Solving -63 + 6x = -279 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -63 + 6x + -24x = -279 + 24x + -24x Combine like terms: 6x + -24x = -18x -63 + -18x = -279 + 24x + -24x Combine like terms: 24x + -24x = 0 -63 + -18x = -279 + 0 -63 + -18x = -279 Add '63' to each side of the equation. -63 + 63 + -18x = -279 + 63 Combine like terms: -63 + 63 = 0 0 + -18x = -279 + 63 -18x = -279 + 63 Combine like terms: -279 + 63 = -216 -18x = -216 Divide each side by '-18'. x = 12 Simplifying x = 12
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