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Simplifying 2.5(6 + -4x) + 3x = -6(x + -5) (6 * 2.5 + -4x * 2.5) + 3x = -6(x + -5) (15 + -10x) + 3x = -6(x + -5) Combine like terms: -10x + 3x = -7x 15 + -7x = -6(x + -5) Reorder the terms: 15 + -7x = -6(-5 + x) 15 + -7x = (-5 * -6 + x * -6) 15 + -7x = (30 + -6x) Solving 15 + -7x = 30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 15 + -7x + 6x = 30 + -6x + 6x Combine like terms: -7x + 6x = -1x 15 + -1x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + -1x = 30 + 0 15 + -1x = 30 Add '-15' to each side of the equation. 15 + -15 + -1x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 30 + -15 -1x = 30 + -15 Combine like terms: 30 + -15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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