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Simplifying 6(4x + -3) + -10x = 15 + -14x Reorder the terms: 6(-3 + 4x) + -10x = 15 + -14x (-3 * 6 + 4x * 6) + -10x = 15 + -14x (-18 + 24x) + -10x = 15 + -14x Combine like terms: 24x + -10x = 14x -18 + 14x = 15 + -14x Solving -18 + 14x = 15 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -18 + 14x + 14x = 15 + -14x + 14x Combine like terms: 14x + 14x = 28x -18 + 28x = 15 + -14x + 14x Combine like terms: -14x + 14x = 0 -18 + 28x = 15 + 0 -18 + 28x = 15 Add '18' to each side of the equation. -18 + 18 + 28x = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 28x = 15 + 18 28x = 15 + 18 Combine like terms: 15 + 18 = 33 28x = 33 Divide each side by '28'. x = 1.178571429 Simplifying x = 1.178571429
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