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Simplifying 5(-6x + 10) + 1784 = -4(-3x + -7) Reorder the terms: 5(10 + -6x) + 1784 = -4(-3x + -7) (10 * 5 + -6x * 5) + 1784 = -4(-3x + -7) (50 + -30x) + 1784 = -4(-3x + -7) Reorder the terms: 50 + 1784 + -30x = -4(-3x + -7) Combine like terms: 50 + 1784 = 1834 1834 + -30x = -4(-3x + -7) Reorder the terms: 1834 + -30x = -4(-7 + -3x) 1834 + -30x = (-7 * -4 + -3x * -4) 1834 + -30x = (28 + 12x) Solving 1834 + -30x = 28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1834 + -30x + -12x = 28 + 12x + -12x Combine like terms: -30x + -12x = -42x 1834 + -42x = 28 + 12x + -12x Combine like terms: 12x + -12x = 0 1834 + -42x = 28 + 0 1834 + -42x = 28 Add '-1834' to each side of the equation. 1834 + -1834 + -42x = 28 + -1834 Combine like terms: 1834 + -1834 = 0 0 + -42x = 28 + -1834 -42x = 28 + -1834 Combine like terms: 28 + -1834 = -1806 -42x = -1806 Divide each side by '-42'. x = 43 Simplifying x = 43
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