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Simplifying -4(x + 3) + 2x + 5 = 6x + 10 Reorder the terms: -4(3 + x) + 2x + 5 = 6x + 10 (3 * -4 + x * -4) + 2x + 5 = 6x + 10 (-12 + -4x) + 2x + 5 = 6x + 10 Reorder the terms: -12 + 5 + -4x + 2x = 6x + 10 Combine like terms: -12 + 5 = -7 -7 + -4x + 2x = 6x + 10 Combine like terms: -4x + 2x = -2x -7 + -2x = 6x + 10 Reorder the terms: -7 + -2x = 10 + 6x Solving -7 + -2x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + -2x + -6x = 10 + 6x + -6x Combine like terms: -2x + -6x = -8x -7 + -8x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -8x = 10 + 0 -7 + -8x = 10 Add '7' to each side of the equation. -7 + 7 + -8x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 10 + 7 -8x = 10 + 7 Combine like terms: 10 + 7 = 17 -8x = 17 Divide each side by '-8'. x = -2.125 Simplifying x = -2.125
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