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Simplifying 6(4x + -3) + -10x = 15x + -14 Reorder the terms: 6(-3 + 4x) + -10x = 15x + -14 (-3 * 6 + 4x * 6) + -10x = 15x + -14 (-18 + 24x) + -10x = 15x + -14 Combine like terms: 24x + -10x = 14x -18 + 14x = 15x + -14 Reorder the terms: -18 + 14x = -14 + 15x Solving -18 + 14x = -14 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -18 + 14x + -15x = -14 + 15x + -15x Combine like terms: 14x + -15x = -1x -18 + -1x = -14 + 15x + -15x Combine like terms: 15x + -15x = 0 -18 + -1x = -14 + 0 -18 + -1x = -14 Add '18' to each side of the equation. -18 + 18 + -1x = -14 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = -14 + 18 -1x = -14 + 18 Combine like terms: -14 + 18 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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