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Simplifying 6x + 3 = 8(x + -4) + 11x Reorder the terms: 3 + 6x = 8(x + -4) + 11x Reorder the terms: 3 + 6x = 8(-4 + x) + 11x 3 + 6x = (-4 * 8 + x * 8) + 11x 3 + 6x = (-32 + 8x) + 11x Combine like terms: 8x + 11x = 19x 3 + 6x = -32 + 19x Solving 3 + 6x = -32 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 3 + 6x + -19x = -32 + 19x + -19x Combine like terms: 6x + -19x = -13x 3 + -13x = -32 + 19x + -19x Combine like terms: 19x + -19x = 0 3 + -13x = -32 + 0 3 + -13x = -32 Add '-3' to each side of the equation. 3 + -3 + -13x = -32 + -3 Combine like terms: 3 + -3 = 0 0 + -13x = -32 + -3 -13x = -32 + -3 Combine like terms: -32 + -3 = -35 -13x = -35 Divide each side by '-13'. x = 2.692307692 Simplifying x = 2.692307692
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