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Simplifying 4(x + 7) = 6x + 4(x + -2) Reorder the terms: 4(7 + x) = 6x + 4(x + -2) (7 * 4 + x * 4) = 6x + 4(x + -2) (28 + 4x) = 6x + 4(x + -2) Reorder the terms: 28 + 4x = 6x + 4(-2 + x) 28 + 4x = 6x + (-2 * 4 + x * 4) 28 + 4x = 6x + (-8 + 4x) Reorder the terms: 28 + 4x = -8 + 6x + 4x Combine like terms: 6x + 4x = 10x 28 + 4x = -8 + 10x Solving 28 + 4x = -8 + 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. 28 + 4x + -10x = -8 + 10x + -10x Combine like terms: 4x + -10x = -6x 28 + -6x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 28 + -6x = -8 + 0 28 + -6x = -8 Add '-28' to each side of the equation. 28 + -28 + -6x = -8 + -28 Combine like terms: 28 + -28 = 0 0 + -6x = -8 + -28 -6x = -8 + -28 Combine like terms: -8 + -28 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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