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Simplifying 5x + 6.9 + -3x = 3(x + -4) + -4 Reorder the terms: 6.9 + 5x + -3x = 3(x + -4) + -4 Combine like terms: 5x + -3x = 2x 6.9 + 2x = 3(x + -4) + -4 Reorder the terms: 6.9 + 2x = 3(-4 + x) + -4 6.9 + 2x = (-4 * 3 + x * 3) + -4 6.9 + 2x = (-12 + 3x) + -4 Reorder the terms: 6.9 + 2x = -12 + -4 + 3x Combine like terms: -12 + -4 = -16 6.9 + 2x = -16 + 3x Solving 6.9 + 2x = -16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6.9 + 2x + -3x = -16 + 3x + -3x Combine like terms: 2x + -3x = -1x 6.9 + -1x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 6.9 + -1x = -16 + 0 6.9 + -1x = -16 Add '-6.9' to each side of the equation. 6.9 + -6.9 + -1x = -16 + -6.9 Combine like terms: 6.9 + -6.9 = 0.0 0.0 + -1x = -16 + -6.9 -1x = -16 + -6.9 Combine like terms: -16 + -6.9 = -22.9 -1x = -22.9 Divide each side by '-1'. x = 22.9 Simplifying x = 22.9
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