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Simplifying 6x + -10 = -4 + -4(-6x + 6) Reorder the terms: -10 + 6x = -4 + -4(-6x + 6) Reorder the terms: -10 + 6x = -4 + -4(6 + -6x) -10 + 6x = -4 + (6 * -4 + -6x * -4) -10 + 6x = -4 + (-24 + 24x) Combine like terms: -4 + -24 = -28 -10 + 6x = -28 + 24x Solving -10 + 6x = -28 + 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. -10 + 6x + -24x = -28 + 24x + -24x Combine like terms: 6x + -24x = -18x -10 + -18x = -28 + 24x + -24x Combine like terms: 24x + -24x = 0 -10 + -18x = -28 + 0 -10 + -18x = -28 Add '10' to each side of the equation. -10 + 10 + -18x = -28 + 10 Combine like terms: -10 + 10 = 0 0 + -18x = -28 + 10 -18x = -28 + 10 Combine like terms: -28 + 10 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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