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Simplifying 2(x + 7) + 4x + -6 = 10x + -3 Reorder the terms: 2(7 + x) + 4x + -6 = 10x + -3 (7 * 2 + x * 2) + 4x + -6 = 10x + -3 (14 + 2x) + 4x + -6 = 10x + -3 Reorder the terms: 14 + -6 + 2x + 4x = 10x + -3 Combine like terms: 14 + -6 = 8 8 + 2x + 4x = 10x + -3 Combine like terms: 2x + 4x = 6x 8 + 6x = 10x + -3 Reorder the terms: 8 + 6x = -3 + 10x Solving 8 + 6x = -3 + 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. 8 + 6x + -10x = -3 + 10x + -10x Combine like terms: 6x + -10x = -4x 8 + -4x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -4x = -3 + 0 8 + -4x = -3 Add '-8' to each side of the equation. 8 + -8 + -4x = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -3 + -8 -4x = -3 + -8 Combine like terms: -3 + -8 = -11 -4x = -11 Divide each side by '-4'. x = 2.75 Simplifying x = 2.75
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