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Simplifying 6(x + 1) + 4 = 4x + 6(x + -3) Reorder the terms: 6(1 + x) + 4 = 4x + 6(x + -3) (1 * 6 + x * 6) + 4 = 4x + 6(x + -3) (6 + 6x) + 4 = 4x + 6(x + -3) Reorder the terms: 6 + 4 + 6x = 4x + 6(x + -3) Combine like terms: 6 + 4 = 10 10 + 6x = 4x + 6(x + -3) Reorder the terms: 10 + 6x = 4x + 6(-3 + x) 10 + 6x = 4x + (-3 * 6 + x * 6) 10 + 6x = 4x + (-18 + 6x) Reorder the terms: 10 + 6x = -18 + 4x + 6x Combine like terms: 4x + 6x = 10x 10 + 6x = -18 + 10x Solving 10 + 6x = -18 + 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. 10 + 6x + -10x = -18 + 10x + -10x Combine like terms: 6x + -10x = -4x 10 + -4x = -18 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -4x = -18 + 0 10 + -4x = -18 Add '-10' to each side of the equation. 10 + -10 + -4x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -18 + -10 -4x = -18 + -10 Combine like terms: -18 + -10 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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