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Simplifying -2(x + 5) + 6x = 4(2x + -3) * 6 Reorder the terms: -2(5 + x) + 6x = 4(2x + -3) * 6 (5 * -2 + x * -2) + 6x = 4(2x + -3) * 6 (-10 + -2x) + 6x = 4(2x + -3) * 6 Combine like terms: -2x + 6x = 4x -10 + 4x = 4(2x + -3) * 6 Reorder the terms: -10 + 4x = 4(-3 + 2x) * 6 Reorder the terms for easier multiplication: -10 + 4x = 4 * 6(-3 + 2x) Multiply 4 * 6 -10 + 4x = 24(-3 + 2x) -10 + 4x = (-3 * 24 + 2x * 24) -10 + 4x = (-72 + 48x) Solving -10 + 4x = -72 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -10 + 4x + -48x = -72 + 48x + -48x Combine like terms: 4x + -48x = -44x -10 + -44x = -72 + 48x + -48x Combine like terms: 48x + -48x = 0 -10 + -44x = -72 + 0 -10 + -44x = -72 Add '10' to each side of the equation. -10 + 10 + -44x = -72 + 10 Combine like terms: -10 + 10 = 0 0 + -44x = -72 + 10 -44x = -72 + 10 Combine like terms: -72 + 10 = -62 -44x = -62 Divide each side by '-44'. x = 1.409090909 Simplifying x = 1.409090909
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