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Simplifying 6(x + 1) = 10(x + -3) Reorder the terms: 6(1 + x) = 10(x + -3) (1 * 6 + x * 6) = 10(x + -3) (6 + 6x) = 10(x + -3) Reorder the terms: 6 + 6x = 10(-3 + x) 6 + 6x = (-3 * 10 + x * 10) 6 + 6x = (-30 + 10x) Solving 6 + 6x = -30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 6x + -10x = -30 + 10x + -10x Combine like terms: 6x + -10x = -4x 6 + -4x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -4x = -30 + 0 6 + -4x = -30 Add '-6' to each side of the equation. 6 + -6 + -4x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -30 + -6 -4x = -30 + -6 Combine like terms: -30 + -6 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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