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Simplifying 6(4x + -3) + -10 = 14x + -15 Reorder the terms: 6(-3 + 4x) + -10 = 14x + -15 (-3 * 6 + 4x * 6) + -10 = 14x + -15 (-18 + 24x) + -10 = 14x + -15 Reorder the terms: -18 + -10 + 24x = 14x + -15 Combine like terms: -18 + -10 = -28 -28 + 24x = 14x + -15 Reorder the terms: -28 + 24x = -15 + 14x Solving -28 + 24x = -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. -28 + 24x + -14x = -15 + 14x + -14x Combine like terms: 24x + -14x = 10x -28 + 10x = -15 + 14x + -14x Combine like terms: 14x + -14x = 0 -28 + 10x = -15 + 0 -28 + 10x = -15 Add '28' to each side of the equation. -28 + 28 + 10x = -15 + 28 Combine like terms: -28 + 28 = 0 0 + 10x = -15 + 28 10x = -15 + 28 Combine like terms: -15 + 28 = 13 10x = 13 Divide each side by '10'. x = 1.3 Simplifying x = 1.3
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