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Simplifying 3(2x + -7) + 5(2x + 2) = 6(4x + 4) Reorder the terms: 3(-7 + 2x) + 5(2x + 2) = 6(4x + 4) (-7 * 3 + 2x * 3) + 5(2x + 2) = 6(4x + 4) (-21 + 6x) + 5(2x + 2) = 6(4x + 4) Reorder the terms: -21 + 6x + 5(2 + 2x) = 6(4x + 4) -21 + 6x + (2 * 5 + 2x * 5) = 6(4x + 4) -21 + 6x + (10 + 10x) = 6(4x + 4) Reorder the terms: -21 + 10 + 6x + 10x = 6(4x + 4) Combine like terms: -21 + 10 = -11 -11 + 6x + 10x = 6(4x + 4) Combine like terms: 6x + 10x = 16x -11 + 16x = 6(4x + 4) Reorder the terms: -11 + 16x = 6(4 + 4x) -11 + 16x = (4 * 6 + 4x * 6) -11 + 16x = (24 + 24x) Solving -11 + 16x = 24 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -11 + 16x + -24x = 24 + 24x + -24x Combine like terms: 16x + -24x = -8x -11 + -8x = 24 + 24x + -24x Combine like terms: 24x + -24x = 0 -11 + -8x = 24 + 0 -11 + -8x = 24 Add '11' to each side of the equation. -11 + 11 + -8x = 24 + 11 Combine like terms: -11 + 11 = 0 0 + -8x = 24 + 11 -8x = 24 + 11 Combine like terms: 24 + 11 = 35 -8x = 35 Divide each side by '-8'. x = -4.375 Simplifying x = -4.375
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